## 6.SP.1-6.SP.5 Statistics and Probability

Posted: February 26, 2018 in Advance, Periods 1&2, Periods 3&4 6.SP.A.1Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

Lessons:

Isolation Drills:

TenMarks Assignment:

• 6.SP.1 Recognizing Statistical Questions

6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

Lessons:

Isolation Drills:

TenMarks Assignment:

• 6.SP.2 Describe Data Distribution: Use Center/Spread/Shape

6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

Lessons:

Isolation Drills:

TenMarks Assignment:

•  6.SP.3 Recognize Measures of Center & Measures of Variation

6.SP.B.4Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

TenMarks Assignment:

• 6.SP.4 Displaying Numerical Data

6.SP.B.5 Summarize numerical data sets in relation to their context Reporting the number of observations and describing the nature of the attribute under investigation, including how it was measured and its units of measurement. Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.  Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

Lessons:

Isolation Drills:

TenMarks Assignment:

• 6.SP.5a Identify: Observation Numbers Based on a Data Display
•  6.SP.5b Attributes of Data Displays
• 6.SP.5c Find: Measures of Center and Variability of Data Sets
• 6.SP.5d Measures of Center and Variability: Shape Data Display

## 7.SP.1-7.SP.4 Syllabus

Standards:

7.SP.A.1Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.

7.SP.A.2 Use data from a random sample to draw  inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.

7.SP.B.3 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.

7.SP.B.4 Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

Lesson Videos:

### Data, statistics, and probability

Isolation Drills:

Grade 7: Statistics and Probability

TenMarks:

7.SP.1
Understanding and Inferring Sample Data

7.SP.2
Inferring Variation in Data Samples
7.SP.3
Understanding Overlap of Data Distributions
7.SP.4
Using Measures of Center to Draw Inferences
7.SP.4
Measures of Center and Variability to Draw Inferences

## 8.Number Systems

Posted: November 27, 2017 in Advance, Advance 2017/18, Isolation Drills

CLICK for Isolation Drills

## The Meatball Challenge

Posted: November 19, 2017 in Advance, Periods 1&2, Periods 3&4, Sports Science MATH

6.RP.A.1

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6.RP.A.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

6.RP.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

6.RP.A.3a

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

6.RP.A.3b

Solve unit rate problems including those involving unit pricing and constant speed.

## 7.NS.1-7.NS.3 Syllabus

Posted: November 14, 2017 in Advance

#### Add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram (7.NS.A.1)

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Describe situations in which opposite quantities combine to make 0.

#### Lessons

• In this lesson you will learn how to determine the values of opposite numbers by comparing their distances and directions from 0.

• In this lesson you will learn the meaning of the term additive inverse by combining opposite numbers to make 0.

• In this lesson you will learn how to make a 0 sum by using the additive inverse of a number.

• In this lesson you will learn how to determine which quantities combine to make 0 by using an algebraic expression.

• In this lesson you will learn how to find the additive inverse of a number by using an equation.

#### Describe situations in which opposite quantities combine to make 0 (7.NS.A.1a)

Describe situations in which opposite quantities combine to make 0.

#### Lessons

• In this lesson you will learn to create zero pairs by using integer chips.

• In this lesson you will learn to make zero by combining opposite numbers on a number line

• In this lesson you will learn to make zero by combining opposite rational numbers on a number line.

#### Describe situations in which opposite quantities combine to make 0, understand p + q as the number |q| from p

Describe situations in which opposite quantities combine to make 0. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

#### Lessons

• In this lesson you will learn how opposite quantities combine to make zero by using a number line.

• In this lesson you will learn how to add integers by using a number line.

• In this lesson you will learn how to add positive and negative numbers by using a number line.

#### Describe situations in which opposite quantities combine to make 0, understanding p + q as the number |q| from p (1)

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged; and understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

#### Lessons

• Understand the additive inverse

In this lesson, you will learn the additive inverse by combining opposite quantities.

• In this lesson, you will learn how to add integers by using a number line.

• In this lesson, you will learn how to add integers by using color counters.

• In this lesson, you will learn how to add integers with the same sign by analyzing the rules using a number line.

• In this lesson, you will learn how to add integers with different signs by analyzing the rules using a number line.

Isolation Drills:

• None

TenMarks Assignments:

• Understanding and Identifying Opposite Quantities

#### Adding and subtracting rational numbers using distance, absolute value, and opposites (7.NS.A.1b)

Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

#### Lessons

• In this lesson you will learn to add integers by using integer chips.

• In this lesson you will learn to add integers with the same sign by using a number line.

• In this lesson you will learn to add integers with opposite signs by using a number line.

• In this lesson you will learn to add integers with opposite signs by using an algorithm.

• In this lesson you will learn to add rational numbers by using algorithms and number lines.

• In this lesson you will learn to solve word problems by finding key words, writing equations, and creating models.

#### Describe situations in which opposite quantities combine to make 0, understand p + q as the number |q| from p

Describe situations in which opposite quantities combine to make 0. Understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

#### Lessons

• In this lesson you will learn how opposite quantities combine to make zero by using a number line.

• In this lesson you will learn how to add integers by using a number line.

• In this lesson you will learn how to add positive and negative numbers by using a number line.

#### Describe situations in which opposite quantities combine to make 0, understanding p + q as the number |q| from p (1)

Describe situations in which opposite quantities combine to make 0. For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged; and understand p + q as the number located a distance |q| from p, in the positive or negative direction depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

#### Lessons

• In this lesson, you will learn the additive inverse by combining opposite quantities.

• In this lesson, you will learn how to add integers by using a number line.

• In this lesson, you will learn how to add integers by using color counters.

• In this lesson, you will learn how to add integers with the same sign by analyzing the rules using a number line.

• In this lesson, you will learn how to add integers with different signs by analyzing the rules using a number line.

Isolation Drills :

TenMarks Assignments:

• Understanding Addition of Rational Numbers

#### Understand subtraction as addition of additive inverses, and differences in terms of distance on the number line (7.NS.A.1c)

Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

#### Lessons

• In this lesson you will learn to subtract integers by using integer chips.

• In this lesson you will learn to subtract integers by using a number line.

• In this lesson you will learn to subtract integers by finding the difference on a number line.

• In this lesson you will learn to subtract rational numbers by using an algorithm.

#### Understand subtraction of rational numbers as adding the additive inverse

Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

#### Lessons

Isolation Drills :

TenMarks Assignments:

• Understanding Subtraction of Rational Numbers

#### Apply properties of operations to add and subtract rational numbers and understanding subtraction of rational numbers as adding the additive inverse (7.NS.A.1d)

Apply properties of operations as strategies to add and subtract rational numbers and understand subtraction of rational numbers as adding the additive inverse, p – q = p + (-q).

#### Lessons

• In this lesson you will learn to add two positive or two negative integers by using a number line.

• In this lesson you will learn to add positive and negative integers by using a number line.

• In this lesson you will learn to demonstrate the commutative property of addition by using a number line.

• In this lesson you will learn to rethink a subtraction problem as an addition problem by using the additive inverse.

• In this lesson you will learn to subtract integers by using the “take away” definition of subtraction on a number line.

• In this lesson you will learn to determine the distance between integers by examining absolute value and number lines.

• In this lesson you will learn to subtract integers by using the difference definition of subtraction on a number line.

#### Add and subtract mixed numbers

Add and subtract mixed numbers by regrouping.

#### Lessons

• In this lesson you will learn how to add mixed fractions by regrouping.

• In this lesson you will learn how to subtract mixed fractions by regrouping their fractional parts.

• In this lesson you will learn how to add mixed fractions by using improper fractions.

#### Use a place value chart

Use a place value chart.

#### Lessons

• In this lesson, you will learn to rewrite decimal division problems by using powers of ten.

• In this lesson you will learn how to subtract decimals by using a place value chart.

Isolation Drills :

TenMarks Assignments:

• Applying Addition and Subtraction to Rational Numbers
• Adding and Subtracting Integers

#### Multiply and divide rational numbers (7.NS.A.2a, 7.NS.A.2b)

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number.

#### Lessons

• In this lesson you will learn to compare the outcomes of fraction multiplication with the outcomes of decimal multiplication by computing with fraction/decimal equivalents.

• In this lesson you will learn to compare the outcomes of fraction division with the outcomes of decimal division by computing with fraction/decimal equivalents.

• In this lesson you will learn how to multiply a positive integer by a negative integer by thinking about equal groups.

• In this lesson you will learn how to multiply a negative integer by a positive integer by thinking about equal groups.

• In this lesson you will learn how to multiply a negative integer by a negative integer by thinking about equal groups.

• In this lesson you will learn how to create and use a neutral field by thinking about the relationship between positive and negative integers.

#### Understand multiplication of rational numbers (1)

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

#### Lessons

• In this lesson you will learn about multiplication with positive and negative integers by noticing patterns.

• In this lesson you will learn about the rules for multiplying a positive integer by a negative integer by using the distributive property.

• In this lesson you will learn about the rules for multiplying a negative integer by a negative integer by using the distributive property.

• In this lesson you will learn about multiply rational numbers other than integers by extending what you know about multiplication with integers.

#### Understand multiplication of rational numbers (2)

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.

#### Lessons

• In this lesson, you will learn how to multiply integers by using the money model.

• In this lesson, you will learn how to multiply integers by using patterns.

• In this lesson, you will learn how to prove that a negative times a negative equals a positive by using the distributive property.

Isolation Drills :

TenMarks Assignments:

• Understanding Multiplication of Fractions
• Applying Multiplication to Integers and Fractions

#### Multiply and divide rational numbers (7.NS.A.2a, 7.NS.A.2b)

Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (-1)(-1) = 1 and the rules for multiplying signed numbers. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number.

#### Lessons

• In this lesson you will learn to compare the outcomes of fraction multiplication with the outcomes of decimal multiplication by computing with fraction/decimal equivalents.

• In this lesson you will learn to compare the outcomes of fraction division with the outcomes of decimal division by computing with fraction/decimal equivalents.

• In this lesson you will learn how to multiply a positive integer by a negative integer by thinking about equal groups.

• In this lesson you will learn how to multiply a negative integer by a positive integer by thinking about equal groups.

• In this lesson you will learn how to multiply a negative integer by a negative integer by thinking about equal groups.

• In this lesson you will learn how to create and use a neutral field by thinking about the relationship between positive and negative integers.

#### Understand division of rational numbers (2)

Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real- world contexts.

#### Lessons

• In this lesson, you will learn how to divide integers by doing the inverse of multiplication.

• In this lesson you will learn where to put the negative sign in a fraction by exploring division.

• In this lesson you will learn that you can not divide rational numbers by zero by dividing blocks into groups.

Isolation Drills :

TenMarks Assignments:

• Understanding Division of Integers
• Understanding Division of Fractions
• Applying Division to Integers and Fractions

#### Apply properties of operations to multiply and divide rational numbers (7.NS.A.2c)

Apply properties of operations as strategies to multiply and divide rational numbers.

#### Lessons

• In this lesson you will learn to rewrite multiplication of numbers by applying the commutative property of multiplication.

• In this lesson you will learn how to apply the commutative property by rewriting division problems as multiplication.

• In this lesson you will learn to rewrite multiplication problems with rational numbers by using the associative property of multiplication.

• In this lesson you will learn to rewrite multiplication problems with rational numbers by using the commutative and associative properties of multiplication.

• In this lesson you will learn to rewrite problems with rational numbers by using different properties of multiplication and division.

#### Applying properties of operations to multiply and divide rational numbers (1)

Apply properties of operations as strategies to multiply and divide rational numbers.

#### Lessons

• In this lesson you will learn to solve multiplication problems by using the associative property.

• In this lesson you will learn to solve multiplication problems by using the Commutative and Associative Properties.

• In this lesson you will learn to solve multiplication problems by using the Distributive Property.

• In this lesson you will learn about using properties of operations in division problems by rewriting the division as multiplication by the reciprocal.

Isolation Drills :

TenMarks Assignments:

• Applying Multiplication and Division to Rational Numbers

#### Convert rational numbers to decimals using divisions; understand rational numbers (7.NS.A.2d)

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

#### Lessons

• In this lesson you will learn how to convert a fraction to a terminating decimal with one digit (tenths) or two digits (hundredths) by using visual representations.

• In this lesson you will learn how to convert more challenging fractions to decimals by using visual representations.

• In this lesson you will learn how to determine which fractions will convert to repeating decimals and how to write them by using visual representations.

• In this lesson you will learn how to determine whether fractions convert to terminating or repeating decimals by using proportional reasoning and double tape diagrams.

• In this lesson you will learn how to convert fractions to decimals by connecting the meaning of fractions to the division algorithm.

#### Convert a rational number to a decimal using long division

Convert a rational number to a decimal using long division

#### Lessons

• In this lesson you will learn to identify rational numbers by exploring their characteristics.

• In this lesson you will learn how to convert a unit fraction to a terminating decimal by using the standard algorithm for division.

• In this lesson you will learn how to convert a unit fraction to a repeating decimal by using the standard algorithm for division.

• In this lesson you will learn how to find the decimal equivalent of any fraction or mixed number by using the standard algorithm for decimal division.

• In this lesson you will learn how to solve real world problems by working with rational numbers.

#### Convert rational numbers to decimals

Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

#### Lessons

• In this lesson you will learn to rewrite fractions as decimals by using long division.

• In this lesson you will learn to rewrite fractions as repeating decimals by using long division.

• In this lesson you will learn to rewrite mixed numbers and improper fractions as decimals by using long division.

• In this lesson you will look at the relationship between fractions and decimals by using multiplication.

Isolation Drills :

TenMarks Assignments:

• Converting Rational Numbers to Decimals

#### Solve real-world problems involving the four operations with rational numbers (7.NS.A.3)

Solve real-world and mathematical problems involving the four operations with rational numbers.

#### Lessons

• In this lesson you will learn to use addition and subtraction to solve real-world problems involving decimals by analyzing the situation described in the problem.

• In this lesson you will learn to use addition and subtraction to solve real-world problems involving fractions by analyzing the situation described in the problem.

• In this lesson you will learn to use addition and division to solve real-world problems with rational numbers by analyzing the situation described in the problem.

#### Simplify expressions with order of operations

Simplify expressions with order of operations.

#### Lessons

• In this lesson you will learn how to simplify whole number expressions by applying the rules of the order of operations.

Isolation Drills :

TenMarks Assignments:

• Converting Rational Numbers to Decimals

## Gateway Arch turns 51

Posted: November 7, 2017 in Advance, Periods 1&2, Periods 3&4

#### Natalie Morales pops out the top of the Gateway Arch 9,000 visitors a year.

4 minute ride up and 3 minute ride down.

6.RP.A.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

6.RP.A.2

Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

6.RP.A.3

Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

6.RP.A.3a

Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

## (6.NS.5-6.NS.8) Number System Fluency Syllabus

Posted: October 24, 2017 in Advance, Periods 1&2, Periods 3&4

Understand the relationship between positive and negative numbers (6.NS.C.5)

• I can explain how positive and negative numbers relate to real world examples and the meaning of zero in each case.

Lessons:

Relate positive and negative quantities

In this lesson you will learn how positive and negative quantities are related by looking at some different real-world examples.

• Created By: Suzanne Geltman
• Standards:6. NS.C.5

Relate positive and negative quantities; apply to elevation

In this lesson you will learn how positive and negative numbers are used in elevation by looking at distances above and below sea level.

• Created By: Suzanne Geltman
• Standards:6. NS.C.5

Relate positive and negative quantities; apply to temperature

In this lesson you will learn how positive and negative numbers are used in temperature by looking at temperatures above and below freezing.

• Created By: Suzanne Geltman
• Standards: 6.NS.C.5

Relate positive and negative quantities; apply to bank balance

In this lesson you will learn how positive and negative numbers are used with money by looking at bank accounts with greater or less than \$0.

• Created By: Suzanne Geltman
• Standards: 6.NS.C.5

Understand rational numbers and ordered pairs; place pairs of rational numbers on the coordinate plane (6.NS.C.6)

• I can explain how each rational number has an opposite value.
• I can explain how each rational number has an opposite value.
• I can explain how the signs of any ordered pair change in each quadrant of the coordinate graph
• I can explain how changing the sign of the numbers in an ordered pair causes it to reflex on one or both axes
• I can locate a rational number on the number line.
• I can plot an ordered pair of rational numbers on the coordinate plane.

Lessons:

Understand the coordinate plane as horizontal and vertical number lines

In this lesson you will learn about the coordinate plane by combining horizontal and vertical number lines.

• Created By: Christine Hansen
• Standards: 6.NS.C.6b

Graph points on a coordinate plane

In this lesson you will learn how to graph points by using a coordinate plane.

• Created By: Christine Hansen
• Standards: 6.NS.C.6b

Graph rational numbers on a coordinate plane

In this lesson you will learn how to graph rational numbers by using a coordinate plane.

• Created By: Christine Hansen
• Standards: 6.NS.C.6c

Reflect points over the x and y axes

In this lesson you will learn how to reflect points over the x and y axes by using a coordinate plane.

• Created By: Christine Hansen
• Standards: 6.NS.C.6b

Translate shapes across the x and y axes

In this lesson you will learn how to translate shapes across the x and y axes by using a coordinate plane.

• Created By: Christine Hansen
• Standards: 6.NS.C.6b

Find the value of a number using its distance and direction from zero

In this lesson you will learn how to find the value of a number by comparing its distance and direction from 0.

• Created By: James Morrison
• Standards: 6.NS.C.6b, 6.NS.C.6c

Find opposite numbers on the number line

In this lesson you will learn how to find opposite numbers by comparing their distances and directions from 0.

• Created By: James Morrison
• Standards: 6.NS.C.6a, 6.NS.C.6b, 6.NS.C.6c

Locate a point on the coordinate plane

In this lesson you will learn how to locate a point on a coordinate plane by plotting an ordered pair.

• Created By: James Morrison
• Standards: 6.NS.C.6b, 6.NS.C.6c

Determine the quadrant of a point

In this lesson you will learn how to determine the quadrant of a point by examining the values of an ordered pair.

• Created By: James Morrison
• Standards: 6.NS.C.6b, 6.NS.C.6c

Predict the reflection of a point by changing values

In this lesson you will learn how to predict the reflection of a point by changing one or more of its values in an ordered pair.

• Created By: James Morrison
• Standards:6. NS.C.6b, 6.NS.C.6c

Understand the opposite of a number by looking at a number line

In this lesson you will learn about the opposite of a number by looking at a number line.

• Created By: Christine Hansen
• Standards: 6.NS.C.6a

Understand the opposites of fractions by looking at a number line

In this lesson you will learn about the opposites of fractions by looking at a number line.

• Created By: Christine Hansen
• Standards: 6.NS.C.6a

Rewrite a fraction as a decimal using division

In this lesson you will learn to rewrite a fraction as a decimal by using division.

• Created By: Christine Hansen
• Standards: 6.NS.C.6a

Rewrite a fraction as a repeating decimal using division

In this lesson you will learn to rewrite a fraction as a decimal by using division.

• Created By: Christine Hansen
• Standards: 6.NS.C.6c

Rewrite decimals as fractions by using equivalent fractions

In this lesson you will learn to rewrite a decimal as a fraction by using equivalent fractions.

• Created By: Christine Hansen
• Standards: 6.NS.C.6a

Locate positive rational numbers using a number line

In this lesson you will learn about locating positive rational numbers by using a number line.

• Created By: Christine Hansen
• Standards: 6.NS.C.6a

Locate rational numbers using a number line

In this lesson you will learn about locating rational numbers by using a number line.

• Created By: Christine Hansen
• Standards: 6.NS.C.6c

Interpret statements of inequality and write, interpret, and explain statements of order for rational numbers (6.NS.C.7)

• I can compare two rational numbers on a number line and in an inequality.
• I can explain the meaning of ordering rational numbers in a real world situation.
• I can explain how absolute value of a number relates to its distance from zero.
• I can explain how the absolute value of a number is used in real world situations to show magnitude.
• I can compare how the absolute value of a number relates to value of the number on the number line.

Lessons:

Understand the relationship between two numbers using a number line

In this lesson you will learn about the relationship between two numbers by finding their location on a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7a

Understand the relationship between two negative numbers using a number lines

In this lesson you will learn about the relationship between two negative numbers by finding their location on a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7a

Compare two positive or negative numbers in real-world situations

In this lesson you will learn about comparing two positive or negative numbers in real-world situations by using a number line.

• Created By: Timothy Hays
• Standards:6. NS.C.7b

Compare more than two positive or negative numbers in real-world situations

In this lesson you will learn about comparing more than two positive or negative numbers in real-world situations by using a number line.

Find absolute value using a number line

In this lesson you will learn how to find the absolute value of a number by using a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7c

Use a number line to understand the relationship between rational numbers and absolute value

In this lesson you will learn about the relationship between rational numbers and absolute value by using a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7c

Describe negative values with words

In this lesson you will learn to describe negative values with words by using a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7c

Interpret absolute value in real-world situations

In this lesson you will learn to interpret absolute value in real-world situations by using a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7d

Use a number line to understand how while the value of a negative number decreases, its absol…

In this lesson you will learn that as the value of a negative number decreases, its absolute value increases by using a number line.

• Created By: Timothy Hays
• Standards: 6.NS.C.7d
• Created By: Timothy Hays
• Standards: 6.NS.C.7b

Graph points in all four quadrants on the coordinate plane to solve real-world and mathematical problems (6.NS.C.8)

• I can use the coordinate plane to solve real-world problems.
• I can find the vertical or horizontal distance between two points on the coordinate plane.

Lessons:

Graph points in any quadrant

In this lesson you will learn to graph points in any quadrant by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.C.8

Write coordinate pairs for points

In this lesson you will learn to write coordinate pairs for points by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.C.8

Use absolute value to find distances between points

In this lesson you will learn to use absolute value to find distances between points with the same x and y value by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.A.1c, 6.NS.C.8

Find the distance between two points in different quadrants

In this lesson you will learn to find the distance between two points that are in different quadrants by using a coordinate plane.

• Created By: Timothy Hays
• Standards:6. NS.A.1c, 6.NS.C.8

Find the length and width of a rectangle given four points on the coordinate plane

In this lesson you will learn to graph and solve mathematical problems by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.A.1c, 6.NS.C.8

Graph and solve mathematical problems using a coordinate plane

In this lesson you will learn to graph and solve mathematical problems by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.C.8

Graph and solve real-world problems using a coordinate plane

In this lesson you will learn to graph and solve real-world problems by using a coordinate plane.

• Created By: Timothy Hays
• Standards: 6.NS.C.8

Assessment will be Jan.20 for PERIODS 1/2 &PERIODS 3/4

Assessment will be Dec.15 for Periods 5/6

## 7.RP.1-3 Rate, Ratios and Proportional Reasoning SYLLABUS

Posted: September 7, 2017 in Advance

7.RP.A.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

Lessons:

ISOLATION DRILLS:

TenMarks Assignments:

• 7.RP.1Calculating Unit Rate

7.RP.A.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

Lessons:

ISOLATION DRILLS:

TenMarks Assignments:

• 7.RP.2aIdentifying Proportional Relationships

7.RP.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Lessons:

ISOLATION DRILLS:

TenMarks Assignments:
• 7.RP.2b Identifying the Constant of Proportionality

7.RP.A.2c Represent proportional relationships by equations.

Lessons:

ISOLATION DRILLS:

TenMarks Assignments:

• 7.RP.2cRepresenting Proportional Relationships Algebraically

7.RP.A.2d Explain what a point (xy) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

Lessons:

ISOLATION DRILLS:

TenMarks Assignments:

• 7.RP.2d Representing Proportional Relationships Graphically

7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems.

Lessons:

ISOLATION DRILLS:

TenMarks Assignments:

• 7.RP.3 Proportional Reasoning with Percents
• 7.RP.3 Calculating Percent