WHAT ARE WE LEARNING TODAY?

California State Standards

What Students Learn in Seventh-Grade Mathematics

                    In seventh grade, students will begin the year by developing an understanding of operations with integers and then all rational numbers. A critical

            area of instruction in Math 7 is developing an understanding and application of proportional relationships, including percentages. Students use ratios

            in cases that involve pairs of rational number entries and compute associated rates. They identify unit rates in representations of proportional

           relationships and work with equations in two variables to represent and analyze proportional relationships. They also solve multistep ratios and percent

           problems, such as problems involving percent increase and decrease.  After having time to master integer operations, students will build on this

           understanding and use the arithmetic of rational numbers as they formulate expressions and equations in one variable and use these equations to

           solve real-world and mathematical problems.

                     Students will extend their study of geometry as they solve problems involving scale drawings and informal geometric constructions. Students also

            work with two- and three-dimensional shapes to solve problems involving area, surface area, and volume. Students then are introduced to probability

         and come to understand the difference between theoretical and experimental probability. In grade seven, they extend their work with single data

         distributions to compare two different data distributions and address questions about differences between populations. They also begin informal work with

        random sampling.

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