6.RP.A.1
6.RP.A.2
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.
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.
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.
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 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.
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. 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.
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:
TenMarks Assignments:
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.
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 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.
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. 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.
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:
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.
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, 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.
In this lesson, you will learn how to subtract integers by adding the additive inverse.
In this lesson, you will learn how to find the distance between two points by finding the absolute value of their difference.
In this lesson you will learn how to subtract rational numbers by using real world contexts.
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:
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).
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 by regrouping.
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.
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:
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.
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 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.
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 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.
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:
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.
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 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.
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:
Apply properties of operations as strategies to multiply and divide rational numbers.
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.
Apply properties of operations as strategies to multiply and divide rational numbers.
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:
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.
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
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 a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
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:
Solve real-world and mathematical problems involving the four operations with rational numbers.
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.
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:
9,000 visitors a year.
4 minute ride up and 3 minute ride down.
6.RP.A.2
6.RP.A.3
6.RP.A.3a
Understand the relationship between positive and negative numbers (6.NS.C.5)
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.
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.
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.
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.
Understand rational numbers and ordered pairs; place pairs of rational numbers on the coordinate plane (6.NS.C.6)
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.
Graph points on a coordinate plane
In this lesson you will learn how to graph points by using a coordinate plane.
Graph rational numbers on a coordinate plane
In this lesson you will learn how to graph rational numbers by using a coordinate plane.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Rewrite a fraction as a decimal using division
In this lesson you will learn to rewrite a fraction as a decimal by using division.
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.
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.
Locate positive rational numbers using a number line
In this lesson you will learn about locating positive rational numbers by using a number line.
Locate rational numbers using a number line
In this lesson you will learn about locating rational numbers by using a number line.
Interpret statements of inequality and write, interpret, and explain statements of order for rational numbers (6.NS.C.7)
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.
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.
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.
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.
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.
Describe negative values with words
In this lesson you will learn to describe negative values with words by using a number line.
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.
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.
Graph points in all four quadrants on the coordinate plane to solve real-world and mathematical problems (6.NS.C.8)
Lessons:
In this lesson you will learn to graph points in any quadrant by using a coordinate plane.
Write coordinate pairs for points
In this lesson you will learn to write coordinate pairs for points by using a coordinate plane.
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.
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.
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.
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.
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.
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.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.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Lessons:
ISOLATION DRILLS:
7.RP.A.2c Represent proportional relationships by equations.
Lessons:
ISOLATION DRILLS:
TenMarks Assignments:
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.
Lessons:
ISOLATION DRILLS:
TenMarks Assignments:
7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems.
Lessons:
ISOLATION DRILLS:
TenMarks Assignments: