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7th Grade Intervention - Math
1st Quarter
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Math Item SpecificationsDESE Prioriity StandardsResources located in "7 Math WMS" Google
Shared Drive		Highlighted GREEN indicates a Priority Standard
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Proficiency ScalesStandards for Mathematical PracticesEffective Mathematics Teaching Practices
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Essential Skills Embedded throughout the SDOW Curriculum: Link
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Professional CommunicationCritical ThinkingEmotional IntelligenceTime Management/OrganizationLeadership
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TechnologyDigital CitizenshipLearning from FailureConflict ResolutionTeamwork
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Unit 1: Integers & Rational Numbers
PLC Questions I: What is it the student is to know and do?


The goal of the unit is for students to identify the difference between a positive and negative numbers, absolute value, and apply mathematical operations to positive and negative integers. Also, for students to identify and apply mathematical operations to positive and negative rational numbers.

Common vocabulary: positive, negative, opposite, additive inverse, absolute value, integer, rational number, terminating decimal, repeating decimal, complex fraction		DOKIntroduce (I)
Dev. Mastery (DM)
Master (M)
Reinforce (R)
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Essential Question:What are integers? How do we use them?
How can we use different forms of the same number to help us solve problems?		1st2nd3rd4th
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Strand: 7.NS.AApply and extend previous understandings of operations to add, subtract, multiply and divide rational numbers.
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7.NS.A.1



*Only c and f are Priority Standards		Apply and extend previous understandings of numbers to add and subtract rational numbers.
a.Add and subtract rational numbers.
b.Represent addition and subtraction on a horizontal or vertical number line.
c.Describe situations and show that a number and its opposite have a sum of 0 (additive inverses). For example, a hydrogen atom has 0 charge because its two constituents are oppositely charged.
d.Understand subtraction of rational numbers as adding the additive inverse., p - q = p+ (-q)
e.Determine the distance between two rational numbers on the number line is the absolute value of their difference.
f.Interpret sums and differences of rational numbers.
g. 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.
h. Apply properties of operations as strategies to add and subtract rational numbers.
*Add in: What is a rational number?		I can describe situations and show that a number and its opposite have a sum of 0. (7.NS.A.1.c)

I can interpret sums and differences of rational numbers. (7.NS.A.1.f)		3I, DM,MRRR
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7.NS.A.2


*Only b and f are Priority Standards		Apply and extend previous understandings of numbers to multiply and divide rational numbers.
a.Multiply and divide rational numbers.
b.Determine that a number and its reciprocal have a product of 1 (multiplicative inverse).
c.Understand that 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).
d.Convert a rational number to a decimal.
e.Understand that all rational numbers can be written as fractions or decimal numbers that terminate or repeat.
f.Interpret products and quotients of rational numbers by describing real-world contexts.
g. Apply properties of operations as strategies to multiply and divide rational numbers.		I can determine that a number and its reciprocal have a product of 1. (7.NS.A.2.b)

I can interpret products and quotients of rational numbers by describing real world concepts. (7.NS.A.2.f)		3I-MRRR
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7.NS.A.37.NS.A.3 Solve problems involving the four arithmetic operations with rational numbersI can solve problems involving the four arithmetic operations with rational numbers. (7.NS.A.3)6I-MRRR
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Unit 2: Ratios and Proportions
The goal of this unit is for students to be able to identify ratios, rates, proportions, slope, and direct variation. Students will also be able to write and solve proportions.

Commong Language: ratio, rate, unit rate, proportional relationship, constant of proportionality, equivalent ratios, origin, proportional relationship, percent		DOKIntroduce (I)
Dev. Mastery (DM)
Master (M)
Reinforce (R)
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Essential Question:What are ratios, and how do we use them?
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Strand: 7.RP.AAnalyze proportional relationships and use them to solve problems.
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7.RP.A.1Compute unit rates, including those that involve complex fractions, with like or different units.3I-MR
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7.RP.A.2

*only a and c are priority standards		Recognize and represent proportional relationships between quantities.
a.Determine when two quantities are in a proportional relationship.
b.Identify and/or compute the constant of proportionality (unit rate).
c.Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.
d.Recognize that the graph of any proportional relationship will pass through the origin.		I can determine when two quantities are in a proportional relationship. (7.RP.A.2.a)

I can explain what a point (s,y) on the graph of a proportional relationship means. (7.RP.A.2.c)		2I-MR
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7.RP.A.37.RP.A.3 Solve problems involving ratios, rates, percentages and proportional relationshipsI can solve problem involving ratios, rates, percentagaes, and proportional relationships. (7.RP.A.3)6DM-MR
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Strand: 7.GM.ADraw and describe geometrical figures and describe the relationships between them.
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7.GM.A.17.GM.A.1 Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scaleI can solve problems involving scale drawings of real objects and geometric figures. (7.GM.A.1)6I - DMR
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Unit 3: PercentsCritical Area of Focus: The goal of this unit is for students to be able to convert and compare percents, decimals, and fractions, find the percent of a number, find the percent of increase and decrease, and identify discounts, markups, and simple interest

Common Language: proportional relationship, ratio, percent, rational number		DOK
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Essential Question:How can we use ratios to compare two different situations?
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Strand: 7.RP.AAnalyze proportional relationships and use them to solve problems.
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7.RP.A.37.RP.A.3 Solve problems involving ratios, rates, percentages and proportional relationshipsI can solve problem involving ratios, rates, percentagaes, and proportional relationships. (7.RP.A.3)6DM-MR
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Strand: 7.EEI.BSolve problems using numerical and algebraic expressions and equations.
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7.EEI.B.3

*b is a Priority Standard.		Solve multi-step problems posed with rational numbers.
a.Convert between equivalent forms of the same number.
b.Assess the reasonableness of answers using mental computation and estimation strategies.		I can assess the reasonableness of answers using mental computation and estimation strategies. (7.EEI.B.3.b)6I-MR
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