Unit 2 Grade 8 Representing Patterns in Multiple Ways Lesson Outline BIG PICTURE Students will: represent linear growing patterns the terms are whole numbers) using graphs, algebraic expressions, and equations; linear relationships graphically. Day Lesson Title Math Learning Goals Expectations 1 What Do Patterns Tell 8m56 Review patterning in real contexts, e.g., weather patterns, quilt Us? patterns, patterns of behaviour, patterns in a number sequence or CGE 2c, 3e codes. Develop an understanding that all patterns follow some order or rule, and practice verbally expressing patterning rules. 2 Different 8m56, 8m57, Examine (linear) patterns involving whole numbers presented in a Representations of the variety of forms e.g., as a numerical sequence, a graph, a chart, a 8m60, 8m78 Same Patterns physical model, in order to develop strategies for identifying patterns. CGE 3b, 5a 3 Finding the Term 8m57, 8m58, nth Determine and represent algebraically, the general term of a linear pattern (nth term). 8m60, 8m62, 8m63, 8m78 Determine any term, given its term number, in a linear pattern represented graphically or algebraically. CGE 5b, 7j validity by substituting values. 4 Exploring Patterns 8m57, 8m58, Determine any term given its term number in a linear pattern 8m60, 8m63, 8m73 represented algebraically. Examine patterns involving whole numbers in a variety of forms. CGE 3c, 4a Explore and establish the difference between linear and non-linear patterns. 5 Space Race: Graphic 8m58, 8m63, 8m78 Record linear sequences using tables of values and graphs. Representations Draw conclusions about linear patterns. CGE 4f, 5a 6 When Can I Buy This 8m56, 8m57, Solve problems involving patterns. Bike? 8m58, 8m73, Use multiple representations of the same pattern to help solve 8m60, 8m63, 8m78 problems. Model linear relationships in a variety of ways to solve a problem. CGE 3c, 4f 7 Determining the Term 8m58, 8m61 Determine any term, given its term number, in a linear pattern Number represented graphically or algebraically. CGE 3c, 4b, 4f Determine the term number given several terms.
Unit 2 Grade 8 Representing Patterns in Multiple Ways Lesson Outline BIG PICTURE Students will: represent linear growing patterns the terms are whole numbers) using graphs, algebraic expressions, and equations; linear relationships graphically. Day Lesson Title Math Learning Goals Expectations 1 What Do Patterns Tell Us? Review patterning in real contexts, e.g., weather patterns, quilt patterns, patterns of behaviour, patterns in a number sequence or codes. Develop an understanding that all patterns follow some order or rule, and practice verbally expressing patterning rules. 8m56 CGE 2c, 3e 2 Different Representations of the Same Patterns Examine (linear) patterns involving whole numbers presented in a variety of forms e.g., as a numerical sequence, a graph, a chart, a physical model, in order to develop strategies for identifying patterns. 8m56, 8m57, 8m60, 8m78 CGE 3b, 5a 3 Finding the nth Term Determine and represent algebraically, the general term of a linear pattern (nth term). Determine any term, given its term number, in a linear pattern represented graphically or algebraically. validity by substituting values. 8m57, 8m58, 8m60, 8m62, 8m63, 8m78 CGE 5b, 7j 4 Exploring Patterns Determine any term given its term number in a linear pattern represented algebraically. Examine patterns involving whole numbers in a variety of forms. Explore and establish the difference between linear and non-linear patterns. 8m57, 8m58, 8m60, 8m63, 8m73 CGE 3c, 4a 5 Space Race: Graphic Representations Record linear sequences using tables of values and graphs. Draw conclusions about linear patterns. 8m58, 8m63, 8m78 CGE 4f, 5a 6 When Can I Buy This Bike? Solve problems involving patterns. Use multiple representations of the same pattern to help solve problems. Model linear relationships in a variety of ways to solve a problem. 8m56, 8m57, 8m58, 8m73, 8m60, 8m63, 8m78 CGE 3c, 4f 7 Determining the Term Number Determine any term, given its term number, in a linear pattern represented graphically or algebraically. Determine the term number given several terms. 8m58, 8m61 CGE 3c, 4b, 4f