Last updated: 6/25/2015 ## Math 7-Core Math Quarter 2

Expressions and Equations

Algebraic expressions

Properties of operations

Distributive property

Simplify Algebraic Expressions

Geometric applications of linear expressions

Subtracting linear expressions

Factoring linear expressions (GCF)

Translating words into math

Modeling with linear expressions

Solving one step equations

Solving two step equations

Solving equations with groups

Solving one step inequalities

Solving multistep inequalities

Graphing solutions to inequalities

Rate, Ratio and Proportion

Rates

Comparing rates

Ratio

Unit Rate

Equivalent Ratios

Proportions

Solving Proportions

Equivalent Cross Products

Identify proportional and Non-proportional relationship

Coordinate Plane

Graphing proportional relationships

Constant of proportionality

Quarter 2

Expressions and Equations

Recognizing like terms, constants, coefficients

Combine like terms

Evaluating expressions using (GEMDAS)

Recognize and use properties to simplify expressions

Distribute into a group

Simplifying algebraic expressions

Subtrating linear equations

Solving one step equations

Solving two step equations

Solving multistep equations

Solving one step inequalities

Graphing inequalities

Solving two step inequalities

Solving multistep inequalities

Rate, Ratio and Proportion

Rates

Comparing rates

Ratio

Unit Rate

Equivalent Ratios

Proportions

Solving Proportions

Equivalent Cross Products

Identify proportional and Non-proportional relationship

Coordinate Plane

Graphing proportional relationships

Expressions and Equations

How can you determine like terms?

How can we use tiles to demonstrate linear exressions?

How do we simplify expressions with unlike terms?

What does simplifying mean?

What is an equation?

How can you use addition and subtraction to solve an equation?

How can you use multiplication and division to solve an equation?

How can we create an equivalent equation?

How can we demonstrate geometric concepts using equations?

What step should you do first in a two step equation?

What are the similarities and differences between inequalities and equations?

Is there a way we can see if a value is a solution to an inequality or equation without solving?

How can we use properties to solve equations and inequalities?

Are there properties that do not hold true for solving inequalities?

How many solutions do equations and inequalities have?

Rates, Ratios and Proportions

What is a unit rate?

How does a unit rate differ from rates?

Is it important to state the unit, when stating unit rate?

How can you identify and represent proportional relationships?

How can we demonstrate a comparison mathematically?

How can we determine a unit price?

How do unit prices help us in the real world?

How can we compare rates in different dimensions?

How are proportional relationships graphed?

How can we recognize a proportional relationship in a table, graph or list?

How can we find the constant of proportionality?

How does the constant of proportionality help determine other coordinates in the relationship?

 (1) 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (1) 7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that "increase by 5%" is the same as "multiply by 1.05." (1) 7.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making \$25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or \$2.50, for a new salary of \$27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. (1) 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. (1) 7.EE.4.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? (1) 7.EE.4.b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid \$50 per week plus \$3 per sale. This week you want your pay to be at least \$100. Write an inequality for the number of sales you need to make, and describe the solutions. (1) 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2 / 1/4 miles per hour, equivalently 2 miles per hour. (1) 7.RP.2 Recognize and represent proportional relationships between quantities. (1) 7.RP.2.a 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. (1) 7.RP.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. (1) 7.RP.2.c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn. (1) 7.RP.2.d 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. (1) 7.RP.3 Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Expressions and Equations

Define variable, constants, coefficients

Evaluate expressions using GEMDAS

Write expressions using variables

Identify and use properties of operations

Distributive property

Simplify expressions by combining like terms

Represent perimeter as linear expression

Model linear expressions, their sums and differences

Determine the GCF of monomials

Factor GCF

Solving one-step equations with addition and subtraction

Geometric applications of sum of angles

Solving equations with one step using multiplication and division

Create equivalent equations

Model equations with bar model

Solving equations with rational coefficients

Solving inequalities with addition or subtraction

Graphing inequality solutions

Solving inequalities with multiplication and division

Solving multi-step inqualities and graph solution

Rate, Ratio and Proportions

Write ratios comparing two quantities in multiple forms

Find unit rates using division

Find unit rates using proportions

Find unit rates creating equivalent fractions with equal denominators

Find unit rates with complex fractions

Comparing unit rates

Finding equivalent ratios using cross products

Solving proportions

Graphing proportional Relationship

Recognizing proportional relationships in tables, graphs and lists

Determine the constant of proportionality from tables, graphs and lists

Expressions and Equations

variable

algebraic expression

algebra

coefficient

define a variable

properties

distribute

factor

like term

unlike terms

constant

simplest form

linear expressions

counter examples

monomial

Rates, Rate and Proportion

Complex Fraction

Constant of Proportionality

Constant Rate of Change

Constant of Variation

Coordinate Plane

Cartesian Plane

Cross Products

Dimensional Analysis

Direct Variation

Equivalent Ratios

Non-proportional

Proportional

Ordered Pairs

Origiin

Rate

Rate of Change

Slope

Unit Rate

X-axis

Y-axis

abscissa

ordinate

X-coordinate

Y-coordinate

Writing Assessment

Unit Assessment

Benchmark Assessment

IXL-technology informal assessment

Glencoe Course 2 Text

State Modules

IXL

Big Ideas Accelerated -Ron Larson 