Unit Numbers and Titles

By the end of grade 7, ...

 Semester 1

          Unit 1 Operations (5 weeks)

            8/14 thru 9/15

           Unit  2: Proportional  Reasoning (7 weeks)

            9/18 thru 11/3 (Q1 grades, 10/6)

           Unit  3: Percent/Simple Probability (4 weeks)

          11/5 thru 12/8 

            (Q2 grades/SEM 1) 

Semester 2 

     Unit 4: Expressions, Equations, and Inequalities  (7 weeks)

     1/8/24 thru 2/23/24

    Unit 5a: Geometry: Angles/Triangles (3 weeks) 

         2/26/24 thru 3/15 (Q3 grades, 3/15/)

        Unit 5b: Geometry: Circles, Area, Scale Drawings, Volume and Surface Area (5 weeks)  

          (spring break 3/25-4/5 )

         3/18 thru 5/3

         Unit 6: Compound Probability, Statistics, and Comparing Distributions (3 weeks) 

     5/5 thru 5/31 

    (Q4/Sem 2 grades 6/7)

Units

Standards

Unit 1: Integer Operations (5 weeks)

• Integer Operations

• Integers on a Number Line 

• 
  NS.1b

• NS. 1c

• NS. 2a

• NS. 2c

• NS. 2d 

Unit 2: Proportional Reasoning (7 weeks)

• Unit rates (including with complex fractions)

• Understanding the constant of proportionality in tables, graphs, equations, diagrams, and verbal descriptions

• Connecting constant of proportionality, unit rate, and slope in representations

• Understanding what proportional means

• RP. 2a

• RP. 2b

• RP. 2c

• RP 2d

Unit 3: Percent/Simple Probability  (4 weeks)

• Use proportional relationships to solve multistep ratio and percent problems.

• Percent Applications (tax, discount, commission, fees, increase, decrease, etc); 

• Understand that Probability is putting a number between 0 and 1 to the chance something will occur.

• Approximate Probability and Predict Relative Frequency

• 
  RP3

• SP. 5

Unit 4: Expressions, Equations, and Inequalities (7 weeks)

• Write, add, subtract, and factor linear expressions; 

• Solve multi-step equations and inequalities; -identify the sequence of operations used in solving; -solve word problems involving equations and inequalities; 

• Graph and interpret the solution set of an inequality.

• 
  EE.1

• EE.3

• EE.4a

• EE.4b

Unit 5a: Geometry: Angles/Triangles (3 weeks)

• Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

• Determine when side lengths form a triangle

• 
  G.5

• G.2

Unit 5b: Geometry: Circles, Area, Scale Drawings, Volume, and Surface Area (5 weeks)

• Real World Problems Involving Area, Perimeter, and Volume

• Surface Area of Cubes and Right Rectangular 

• Prisms

• The volume of Cubes and Right Rectangular Prisms

• Formulas and Relationships for Circumference and Area of Circles

• Scaling and Area

• 2-D cross sections of 3-D shapes

• Application problems involving proportions

• Scale drawings with figures

• 
  G. 1

• G. 3

• G. 4

• G. 6

Unit 6: Statistics and Comparing Distributions (3 weeks)

• Sampling

• Inferences

• Mean Standard Deviation

• Overlap Amongst Two Data Sets

• Measures of Variability

• Compound experiments, tables, and trees

• Simulations to estimate probabilities

• 
  SP. 4

• SP. 7a

• SP. 8a

• SP 8b

       Math  7  students  should master:

              Add, subtract, multiply, and divide with integers

         Write & solve 2-step equations

         Understanding proportional relationships in multiple representations (table, graph, equation, and scenario)

         Applying proportional reasoning to percent scenarios

            Math  7  students  work towards  fluency  in:

 Add/subtract/multiply/divide using fractions and decimals.

Simplify expressions (factor, distribute, and combine like terms.)

Solve inequalities

Writing/creating sample equations from real-world situations. 

Calculate the area of quadrilaterals, triangles, and circles. 

Identify angle relationships and solve for unknown angle measurements. 

Scale Drawings

Understand probability and write it as a fraction, decimal, and percent.

Develop probability models. 

Math  7  students  are introduced  to:

Surface area and volume with cubes and right prisms. 

Slicing 3D

Compound Probability

Compute unit rates with fractions

Converting rational numbers to decimals

Measures of Center