Consolidation of Grade 6 EQAO Questions Patterning and Algebra

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Morgan O’Connor’
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1 Consolidation of Grade 6 EQAO Questions Patterning and Algebra SE2 Families of Schools

2 Year PV1 PV2 Spring 2006 Spring 2007 MC7 MC15 MC16 MC31 MC35 OR28 MC1 MC22 MC23 MC34 MC2 MC17 MC31 OR27 Spring 2008 Spring 2009 Spring 2010 MC6 MC14 MC15 MC24 OR28 MC6 MC14 MC24 MC25 OR9 MC2 MC15 MC20 MC25 MC30 OR26 MC5 MC25 MC5 MC15 MC14 OVERALL EXPECTATIONS PV1 Describe and represent relationships in growing and shrinking patterns (where the terms are whole numbers), and investigate repeating patterns involving rotations PV2 Use variables in simple algebraic expressions and equations to describe relationships

3 PATTERNING & ALGEBRA: Patterns and Relationships Grade 4 Grade 5 Grade 6 Overall Expectation - describe, extend, and create a variety of numeric and geometric patterns, make predictions related to the patterns, and investigate repeating patterns involving reflections - create a number pattern involving addition, subtraction, or multiplication, given a pattern rule expressed in words - extend, describe, and create repeating, growing, and shrinking number patterns - connect each term in a growing or shrinking pattern with its term number, and record the patterns in a table of values that shows the term number and the term - make predictions related to repeating geometric and numeric patterns - extend and create repeating patterns that result from reflections, through investigation using a variety of tools - determine, through investigation using a table of values, relationships in growing and shrinking patterns, and investigate repeating patterns involving translations Specific Expectations make a table of values for a pattern that is generated by adding or subtracting a number to get the next term, or by multiplying or dividing by a constant to get the next term, given either the sequence or the pattern rule in words - create, identify, and extend numeric and geometric patterns, using a variety of tools - build a model to represent a number pattern presented in a table of values that shows the term number and the term make predictions related to growing and shrinking geometric and numeric patterns extend and create repeating patterns that result from translations, through investigation using a variety of tools - describe and represent relationships in growing and shrinking patterns (where the terms are whole numbers), and investigate repeating patterns involving rotations make tables of values for growing patterns, given pattern rules in words then list the ordered pairs and plot the points in the first quadrant, using a variety of tools identify geometric patterns, through investigation using concrete materials or drawings, and represent them numerically - determine a term, given its term number, by extending growing and shrinking patterns that are generated by adding or subtracting a constant, or multiplying or dividing by a constant, to get the next term determine the term number of a given term in a growing pattern that is represented by a pattern rule in words, a table of values, or a graph - describe pattern rules (in words) that generate patterns by adding or subtracting a constant, or multiplying or dividing by a constant, to get the next term then distinguish such pattern rules from pattern rules, given in words, that describe the general term by referring to the term number extend and create repeating patterns that result from rotations, through investigation using a variety of tools

4 PATTERNING & ALGEBRA: Expressions and Equality Grade 4 Grade 5 Grade 6 Overall Expectations - demonstrate an understanding of equality between pairs of expressions, using addition, subtraction, and multiplication - determine, through investigation, the inverse relationship between multiplication and division - identify, through investigation and use the commutative property of multiplication to facilitate computation with whole numbers - identify, through investigation, and use the distributive property of multiplication over addition to facilitate computation with whole numbers - determine the missing number in equations involving multiplication of one- and two-digit numbers, using a variety of tools and strategies - demonstrate, through investigation, an understanding of the use of variables in equations Specific Expectations determine the missing number in equations involving addition, subtraction, multiplication, or division and one- or two digit numbers, using a variety of tools and strategies demonstrate, through investigation, an understanding of variables as changing quantities, given equations with letters or other symbols that describe relationships involving simple rates demonstrate, through investigation, an understanding of variables as unknown quantities represented by a letter or other symbol - use variables in simple algebraic expressions and equations to describe relationships demonstrate an understanding of different ways in which variables are used identify, through investigation, the quantities in an equation that vary and those that remain constant solve problems that use two or three symbols or letters as variables to represent different unknown quantities determine the solution to a simple equation with one variable, through investigation using a variety of tools and strategies

5 Overall Expectation #1: Describe and represent relationships in growing and shrinking patterns (where the terms are whole numbers), and investigate repeating patterns involving rotations Spring 2006 Consolidation of EQAO Questions by Strand (Patterning & Algebra) Page 1 of 21

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20 Overall Expectation #2: Use variables in simple algebraic expressions and equations to describe relationships Spring 2006 Consolidation of EQAO Questions by Strand (Patterning & Algebra) Page 16 of 21

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Grade 6: Correlated to AGS Basic Math Skills

Grade 6: Correlated to AGS Basic Math Skills Grade 6: Standard 1 Number Sense Students compare and order positive and negative integers, decimals, fractions, and mixed numbers. They find multiples and