Math 7

MATH 7 SYLLABUS

 7th Grade Mathematics

The St. Andrew’s 7th Grade Mathematics course builds upon students’ foundational mathematical skills while introducing increasingly sophisticated concepts in algebra, geometry, statistics, and probability. Students develop algebraic reasoning through the use of variables, expressions, equations, order of operations, and properties of numbers, while strengthening their understanding and application of integers, rational numbers, fractions, decimals, and percents. The course emphasizes proportional relationships, rates, proportions, scale drawings, coordinate graphs, slope, and direct variation, providing a foundation for future algebraic study. Students also explore geometric relationships, measurement, area, volume, surface area, and congruence, as well as collect, represent, and analyze data using statistical measures and graphical displays. Probability concepts include experimental and theoretical probability, sample spaces, compound events, combinations, and permutations. Throughout the course, students apply mathematical concepts to authentic problem-solving situations and performance tasks, with an emphasis on mathematical reasoning, communication, accuracy, and the ability to select and justify appropriate strategies for solving complex problems. The course aligns with the Grade 7 Common Core State Standards for Mathematics and prepares students for the increased algebraic and quantitative demands of 8th grade mathematics.

Grading:

Class is graded on a total points system.  This means that each assignment has a point value.  Class assignments/activities are usually about 10 points while larger assessments are 50 to 100 points.  Class activities are daily, however.  This means that they add up!  Tests will be heavier grades pointwise, but students will have an opportunity to try again if they complete some intervention tasks associated with the questions that caused the not-so-great score.

Behavior Expectations:

There will be a silent “do now” task at the beginning of each class to set the tone.  There will also be some short, direct instruction periods where I will be teaching a skill and asking students questions.  The majority of the class will be time when students work alongside their peers and are able to collaborate or ask questions.  Students who have difficulty with this sort of style may choose to move to a station to work independently.

We will frequently move about the room, use the white boards, Stations 1-3, and take brain breaks to ease “math stress.” Students who have difficulty with this sort of style may choose to move to a station to work independently.

Under no circumstances will students be allowed to tease one another, throw objects, write on or destroy another’s property, deliberately bother or harass classmates or talk at inappropriate times.

Homework

Students will have three homework passes a trimester.  This means that if they forget their homework, or cannot complete it due to an event, they will simply use a pass.  I will keep track of the passes electronically.  If students DO NOT use the passes, the passes will turn into extra credit.

Course Outline/ Common Core Math Standards

Chapter 1 Algebraic Reasoning

1-1 Order of Operations. CC.7.NS.1d

1-2 Properties of Numbers.

1-3 Variables and Algebraic Expressions.  CC.7.EE.2

1-4 Translating Words into Math.  CC.7.EE.1

1-5 Simplifying Algebraic Expressions.

Problem Solving Connections

Performance Task.  Food Truck Frenzy Project

Chapter 2 Integers and Rational Numbers

Chapter Overview.   CC.7.NS.1a

2-1 Integers.  CC.7.NS.1b

2-2 Adding Integers   CC.7.NS.1c

2-3 Subtracting Integers.   CC.7.NS.2

2-4 Multiplying and Dividing Integers  CC.7.EE.4

2-5 Solving Equations Containing Integers.   CC.7.NS.2d

2-6 Equivalent Fractions and Decimals

2-7 Comparing and Ordering Rational Numbers.

Problem Solving Connections

Performance Task.

Assessment Readiness

Chapter 3 Applying Rational Numbers

3-1 Adding and Subtracting Decimals.  CC.7.NS.1,   CC.7.NS.2

3-2 Multiplying Decimals     CC.7.NS.2

3-3 Dividing Decimals.    CC.7.EE.4

3-4 Solving Equations Containing Decimals   CC.7.NS.1

3-5 Adding and Subtracting Fractions    CC.7.NS.2

3-6 Multiplying Fractions and Mixed Numbers   CC.7.NS.2

3-7 Dividing Fractions and Mixed Numbers   CC.7.EE.4

3-8 Solving Equations Containing Fractions.

Problem Solving Connections

Performance Task.

Assessment Readiness

Chapter 4 Proportional Relationships

4-1 Rates    CC.7.RP.2a

4-2 Identifying and Writing Proportions    CC.7.RP.2

4-3 Solving Proportions    CC.7.RP.2

4-4 Similar Figures and Proportions    CC.7.RP.2c

4-5 Using Similar Figures   CC.7.G.1

4-6 Scale Drawings and Scale Models.

Problem Solving Connections

Performance Task.

Assessment Readiness

Graphs

Chapter 5

5-1 The Coordinate Plane  PREVIEW OF CC.8.F.5

5-2 Interpreting Graphs   CC.7.RP.2

5-3 Slope and Rates of Change   CC.7.RP.2

5-4 Direct Variation

Problem Solving Connections

Performance Task.

Assessment Readiness

Chapter 6 Percents

6-1 Fractions, Decimals, and Percents   CC.7.EE.3

6-2 Estimating with Percents.   CC.7.EE.2

6-3 Using Properties with Rational Numbers   CC.7.RP.3

6-4 Percent of Change CC.7.RP.3

6-5 Applications of Percents  CC.7.RP.3

6-6 Simple Interest

Problem Solving Connections

Performance Task.

Assessment Readiness

Chapter 7

Collecting, Displaying, and Analyzing Data

Chapter Overview.

PREP FOR CC.7.SP.4

7-1 Mean, Median, Mode, and Range  CC.7.SP.4

7-2 Box-and-Whisker Plots.  CC.7.SP.1

7-3 Populations and Samples. 

Problem Solving Connections

Performance Task..

Assessment Readiness

Chapter 8 Geometric Figures

Chapter Overview.

PREP FOR CC.7.G.6

8-1 Building Blocks of Geometry.  CC.7.G.5

8-2 Classifying Angles.  CC.7.G.5

8-3   Line and Angle Relationships   CC.7.G.2

8-4 Angles in Polygons.

PREVIEW OF CC.8.G.2

8-5 Congruent Figures

Problem Solving Connections

Performance Task.

Assessment Readiness

Chapter 9 Measurement and Geometry

Chapter Overview.

CC.7.G.4

9-1 Perimeter and Circumference  CC.7.G.4

9-2 Area of Circles  CC.7.G.6

9-3 Area of Irregular Figures  CC.7.G.3

9-4 Introduction to Three-Dimensional Figures.  CC.7.G.6

9-5 Volume of Prisms and Cylinders

CC.7.G.6

9-6  Surface Area of Prisms and Cylinders

Problem Solving Connections

Performance Task.

Assessment Readiness

Chapter 10  Probability

10-1   Probability CC.7.SP.6

10-2 Experimental Probability.  CC.7.SP.8c

10-3   Sample Spaces  CC.7.SP.7a

10-4  Theoretical Probability  CC.7.SP.7a

10-5  Making Predictions  CC.7.SP.8

10-6  Probability of Independent and Dependent Events  CC.7.SP.8b

10-7  Combinations   CC.7.SP.8b

10-8  Permutations  CC.7.SP.8

10-9  Probability of Compound Events

Problem Solving Connections

Performance Task.

Assessment Readiness

Chapter 11

Multi-Step Equations and Inequalities

Chapter Overview. CC.7.EE.4a

11-1 Solving Two-Step Equations CC.7.EE.4a

11-2 Solving Multi-Step Equations CC.7.EE.4a

11-3 Solving Equations with Variables on Both Sides

PREP FOR CC.7.EE.4

11-4  Inequalities.  CC.7.EE.4b

11-5 Solving Inequalities by Adding or Subtracting.  CC.7.EE.4b

11-6 Solving Inequalities by Multiplying or Dividing.  CC.7.EE.4

11-7   Solving Multi-Step Inequalities

Problem Solving Connections.

Performance Task..

Assessment

Polygons Quizlet