Math for Ages 12 to 13 Course

What you will learn in 6 lessons

1. 1

   Integers and Negative Numbers

   Start here

   Learners add, subtract, multiply and divide positive and negative numbers, including fractions and decimals, and use them in context.

   5 learning goals

   What you will learn

   1. 1.Understand positive and negative numbers
   2. 2.Add and subtract positive and negative numbers
   3. 3.Multiply and divide positive and negative numbers
   4. 4.Calculate with negative fractions and decimals
   5. 5.Combine operations and solve problems with signed numbers
2. 2

   Simplifying and Factoring Expressions

   Learners simplify expressions, expand single parentheses and factor out a common factor.

   5 learning goals

   What you will learn

   1. 1.Simplify expressions by combining like terms
   2. 2.Multiply and divide terms
   3. 3.Expand expressions with parentheses
   4. 4.Factor out a common factor
   5. 5.Write and compare expressions for shapes and situations
3. 3

   Linear Equations

   Learners solve linear equations with parentheses, fractions and variables on both sides and set up equations to solve problems.

   6 learning goals

   What you will learn

   1. 1.Understand what it means to solve an equation
   2. 2.Solve equations with the variable on both sides
   3. 3.Solve equations with parentheses
   4. 4.Solve equations with fractions
   5. 5.Recognize equations with one, no or infinitely many solutions
   6. 6.Write and solve equations for real problems
4. 4

   Area and Circumference of a Circle

   Learners name the parts of a circle and calculate circumference and area with pi, including semicircles and composite shapes.

   5 learning goals

   What you will learn

   1. 1.Name the parts of a circle and explain what π is
   2. 2.Calculate the circumference of a circle
   3. 3.Calculate the area of a circle
   4. 4.Find perimeters and areas of semicircles, quarter circles and composite shapes
   5. 5.Solve real-world problems with circles
5. 5

   Scale Drawings and Dilations

   Learners read and draw scale drawings and maps, enlarge shapes by a scale factor from a center and use bearings to describe directions.

   4 learning goals

   What you will learn

   1. 1.Make and use scaled copies
   2. 2.Read and make scale drawings and maps
   3. 3.Dilate figures from a center
   4. 4.Describe directions with bearings
6. 6

   Probability

   Learners calculate probabilities of single events as fractions, decimals and percentages, use complementary events and compare theoretical with experimental probability.

   4 learning goals

   What you will learn

   1. 1.Describe how likely events are with probabilities
   2. 2.Calculate theoretical probabilities of single events
   3. 3.Estimate probabilities from experiments
   4. 4.Predict outcomes and make decisions with probability