3&4. Patterning and Algebra

This will be taught in one long unit.

By the end of this algebra unit, I will be able to:

• model linear equations

• translate math lingo into English and vise versa (ie 1 more than three times a number)

• evaluate algebraic expressions by substitution.

• solve linear equations:

  • 2x=6

  • x+15=32

  • 2x+4=10

• https://www.youtube.com/watch?v=KmuWR_LriQU&t=311s

By the end of this patterning unit, I will be able to:

· - Represent linear growing patterns (sketch, table of values, scatter plot)

· -Write an algebraic expression that describes the pattern

· -Calculate the term number (from the term value)

· - Calculate the term value (from the term number)

Algebra IXL codes

Expressions and properties

1. T.1Write variable expressions

1. T.2Write variable expressions: word problems

1. T.3Evaluate linear expressions

1. T.4Evaluate multi-variable expressions

One-variable equations

1. U.1Which x satisfies an equation?

1. U.2Write an equation from words

1. U.3Model and solve equations using algebra tiles

1. U.4Write and solve equations that represent diagrams

1. U.5Solve one-step equations

1. U.6Solve two-step equations

1. U.7Solve equations: word problems

1. U.8Solve equations involving like terms

1. U.9Solve equations: complete the solution

2. REACH AHEAD Algebra

3. T.10Multiply using the distributive property

1. T.11Solve equations using properties

1. T.12Write equivalent expressions using properties

1. T.13Add and subtract like terms

1. T.14Add, subtract and multiply linear expressions

1. T.15Factors of linear expressions

1. T.16Identify equivalent linear expressions

Patterning IXL codes

Number sequences

1. S.1Identify arithmetic and geometric sequences

1. S.2Arithmetic sequences

1. S.3Geometric sequences

1. S.4Number sequences: mixed review

1. S.5Number sequences: word problems

1. S.6Evaluate variable expressions for number sequences

1. S.7Write variable expressions for arithmetic sequences

1. V.3Solve word problems involving two-variable equations

2. V.4Complete a table for a two-variable relationship

1. V.5Write a two-variable equation

1. V.6Identify the graph of an equation

1. V.7Graph a two-variable equation

1. V.8Interpret a graph: word problems

1. V.9Write an equation from a graph using a table

Instead of teaching this unit in small chunks, there will only be a couple of formal teaching days. Students will be working (independently as well as in small groups) for most of the unit. Many students find writing algebraic expressions difficult and may benefit from watching the YouTube videos posted below.

Extra help:

https://stanleyparkmath.wikispaces.com/Gr.+7+-+Patterning

Unit Plan Patterning:

Grade 7: Patterning and Algebra General Rubric

Suggested websites - Patterning

Suggested websites Algebra:

Tutorials:

Modeling with blocks

http://www.mathplayground.com/AlgebraEquations.html

Videos:

Algebra tiles

https://www.youtube.com/watch?v=CpnzNmw1Mg8

Algebra basics

https://www.youtube.com/watch?v=Rpg6e1AxbrE