Archive for the ‘Advance’ Category

8.Number Systems

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

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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 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.

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

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

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 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

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

 

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

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

Add and subtract mixed numbers

Add and subtract mixed numbers by regrouping.

Lessons

Use a place value chart

Use a place value chart.

Lessons

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 division with the outcomes of decimal division by computing with fraction/decimal equivalents.

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

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

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 division with the outcomes of decimal division by computing with fraction/decimal equivalents.

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

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

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

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

Lessons

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 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

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

Simplify expressions with order of operations

Simplify expressions with order of operations.

Lessons

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

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.
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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.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

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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.

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.

7.RP.A.2

Recognize and represent proportional relationships between quantities.

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.

7.RP.A.2b

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

7.RP.A.2c

Represent proportional relationships by equations.

7.RP.A.2d

Explain what a point (x, y) 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.

7.RP.A.3

Use proportional relationships to solve multistep ratio and percent problems.