CAMET

Skills available for CAMET grade 7 math curriculum

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CAMET Foundation for the Atlantic Canada Mathematics Curriculum CAMET Foundation for the Atlantic Canada Mathematics Curriculum

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7 Number Concepts/Number and Relationship Operations

7.A Students will demonstrate number sense and apply number theory concepts.
- 7.A1 model and use power, base and exponent to represent repeated multiplication
  - Understanding exponents (7-K.1)
- 7.A2 rename numbers among exponential, standard, and expanded forms
- 7.A3 rewrite large numbers from standard form to scientific notation and vice versa
  - Convert between standard and scientific notation (8-H.1)
- 7.A4 solve and create problems involving common factor and greatest common factors (GCF)
  - Greatest common factor (7-A.5)
  - GCF and LCM: word problems (7-A.7)
- 7.A5 solve and create problems involving common multiples and least common multiples (LCM)
  - Least common multiple (7-A.6)
  - GCF and LCM: word problems (7-A.7)
- 7.A6 develop and apply divisibility rules for 3, 4, 6, and 9
  - Divisibility rules (7-A.4)
- 7.A7 apply patterning in renaming numbers from fractions and mixed numbers to decimal numbers
  - Convert between decimals and fractions or mixed numbers (7-J.2)
- 7.A8 rename single-digit and double-digit repeating decimals to fractions through the use of patterns, and use these patterns to make predictions
- 7.A9 compare and order proper and improper fractions, mixed numbers, and decimal numbers
- 7.A10 illustrate, explain, and express ratios, fractions, decimals, and percents in alternative forms
- 7.A11 demonstrate number sense for percent
- 7.A12 represent integers (including zero) concretely, pictorially, and symbolically, using a variety of models
- 7.A13 compare and order integers
  - Compare and order integers (7-B.9)
7.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.
- 7.B1 use estimation strategies to assess and justify the reasonableness of calculation results for integers and decimal numbers
- 7.B2 use mental math strategies for calculations involving integers and decimal numbers
- 7.B3 demonstrate an understanding of the properties of operations with decimal numbers and integers
- 7.B4 determine and use the most appropriate computational method in problem situations involving whole numbers and/or decimals
- 7.B5 apply the order of operations for problems involving whole and decimal numbers
- 7.B6 estimate the sum or difference of fractions when appropriate
  - Estimate sums and differences of mixed numbers (7-G.12)
- 7.B7 multiply mentally a fraction by a whole number and vice versa
  - Multiply fractions and whole numbers (7-H.5)
  - Multiply fractions and whole numbers: word problems (7-H.6)
- 7.B8 estimate and determine percent when given the part and the whole
- 7.B9 estimate and determine the percent of a number
  - Estimate percents of numbers (7-N.4)
- 7.B10 create and solve problems that involve the use of percent
  - Percents of numbers: word problems (7-N.6)
  - Solve percent equations: word problems (7-N.8)
- 7.B11 add and subtract integers concretely, pictorially, and symbolically to solve problems
- 7.B12 multiply integers concretely, pictorially, and symbolically to solve problems
- 7.B13 divide integers concretely, pictorially, and symbolically to solve problems
- 7.B14 solve and pose problems which utilize addition, subtraction, multiplication, and division of integers
  - Multi-step word problems (7-P.2)
- 7.B15 apply the order of operations to integers
  - Evaluate numerical expressions involving integers (7-C.25)
- 7.B16 create and evaluate simple variable expressions by recognizing that the four operations apply in the same way a they do for numerical expressions
- 7.B17 distinguish between like and unlike terms
  - Add and subtract like terms (7-T.14)
- 7.B18 add and subtract like terms by recognizing the parallel with numerical situations, using concrete and pictorial models
  - Add and subtract like terms (7-T.14)

7 Patterns and Relations

7.C Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.
- 7.C1 describe a pattern, using written and spoken language and tables and graphs
- 7.C2 summarize simple patterns, using constants, variables, algebraic expressions, and equations, and use them in making predictions
  - Model and solve equations using algebra tiles (7-U.3)
  - Write a two-variable equation (7-W.5)
- 7.C3 explain the difference between algebraic expressions and algebraic equations
  - Write variable expressions (7-T.1)
  - Model and solve equations using algebra tiles (7-U.3)
- 7.C4 solve one- and two-step single-variable linear equations, using systematic trial
- 7.C5 illustrate the solution for one- and two-step single-variable linear equations, using concrete materials and diagrams
  - Identify the graph of an equation (7-W.6)
  - Graph a two-variable equation (7-W.7)
- 7.C6 graph linear equations, using a table of values
- 7.C7 interpolate and extrapolate number values from a given graph
- 7.C8 determine if an ordered pair is a solution to a linear equation
  - Does (x, y) satisfy the equation? (7-W.1)
- 7.C9 construct and analyse graphs to show how change in one quantity affects a related quantity
  - Solve proportions: word problems (7-L.13)
  - Scale drawings: word problems (7-L.18)

7 Shape and Space

7.D Students will demonstrate an understanding of and apply concepts and skills associated with measurement.
- 7.D1 identify, use, and convert among the SI units to measure, estimate, and solve problems that relate to length, area, volume, mass, and capacity
- 7.D2 apply concepts and skills related to time in problem situations
  - Elapsed time word problems (7-P.6)
- 7.D3 develop and use rate as a tool for solving indirect measurement problems in a variety of contexts
- 7.D4 construct and analyse graphs of rates to show how change in one quantity affects a related quantity
- 7.D5 demonstrate an understanding of the relationships among diameter, radii, and circumference of circles, and use the relationships to solve problems
7.E Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.
- 7.E1 decide and justify which combinations of triangle classifications are possible, through construction using materials and/or technology
- 7.E2 determine and use relationships between angle measures and side lengths in triangles
- 7.E3 construct angle bisectors and perpendicular bisectors, using a variety of methods
- 7.E4 apply angle pair relationships to find missing angle measures
- 7.E5 identify, construct, classify, and use angle pair relationships pertaining to parallel lines and non-parallel lines and their transversals
- 7.E6 apply angle relationships to find angle measures
  - Find measures of complementary, supplementary, vertical and adjacent angles (7-X.12)
- 7.E7 explain, using a model, why the sum of the measures of the angles of a triangle is 180°
  - Interior angles of polygons (7-X.8)
- 7.E8 sketch and build 3-D objects, using a variety of materials and information about the objects
  - Nets of three-dimensional figures (7-AA.2)
  - Front, side and top view (7-AA.3)
- 7.E9 draw, describe, and apply translations, reflections, and rotations, and their combinations, and identify and use the properties associated with these transformations
- 7.E10 create and describe designs using translation, rotation, and reflection

7 Data Management and Probability

7.F Students will solve problems involving the collection, display and analysis of data.
- 7.F1 communicate through example the distinction between biased and unbiased sampling, and first- and second-hand data
  - Identify representative, random and biased samples (7-DD.10)
- 7.F2 formulate questions for investigation from relevant contexts
- 7.F3 select, defend, and use appropriate data collection methods and evaluate issues to be considered when collecting data
  - Identify representative, random and biased samples (7-DD.10)
- 7.F4 construct a histogram
  - Create histograms (7-CC.9)
- 7.F5 construct appropriate data displays, grouping data where appropriate and taking into consideration the nature of the data
- 7.F6 read and make inferences for grouped and ungrouped data displays
- 7.F7 formulate statistics projects to explore current issues from within mathematics, other subject areas, or the world of students
- 7.F8 determine measures of central tendency and how they are affected by data presentations and fluctuations
- 7.F9 draw inferences and make predictions based on the variability of data sets, using range and the examination of outliers, gaps, and clusters
  - Changes in mean, median, mode and range (7-DD.8)
7.G Students will represent and solve problems involving uncertainty.
- 7.G1 identify situations for which the probability would be near 0, 1//4, 1/2, 3/4, and 1
- 7.G2 solve probability problems, using simulations and by conducting experiments
- 7.G3 identify all possible outcomes of two independent events, using tree diagrams and area models
  - Compound events: find the number of outcomes (7-EE.6)
  - Counting principle (7-EE.7)
- 7.G4 create and solve problems, using the numerical definition of probability
  - Make predictions (7-EE.5)
- 7.G5 compare experimental results with theoretical results
  - Make predictions (7-EE.5)
- 7.G6 use fractions, decimals, and percents as numerical expressions to describe probability

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7 Number Concepts/Number and Relationship Operations

7.A Students will demonstrate number sense and apply number theory concepts.

7.A1 model and use power, base and exponent to represent repeated multiplication

7.A2 rename numbers among exponential, standard, and expanded forms

7.A3 rewrite large numbers from standard form to scientific notation and vice versa

7.A4 solve and create problems involving common factor and greatest common factors (GCF)

7.A5 solve and create problems involving common multiples and least common multiples (LCM)

7.A6 develop and apply divisibility rules for 3, 4, 6, and 9

7.A7 apply patterning in renaming numbers from fractions and mixed numbers to decimal numbers

7.A8 rename single-digit and double-digit repeating decimals to fractions through the use of patterns, and use these patterns to make predictions

7.A9 compare and order proper and improper fractions, mixed numbers, and decimal numbers

7.A10 illustrate, explain, and express ratios, fractions, decimals, and percents in alternative forms

7.A11 demonstrate number sense for percent

7.A12 represent integers (including zero) concretely, pictorially, and symbolically, using a variety of models

7.A13 compare and order integers

7.B Students will demonstrate operation sense and apply operation principles and procedures in both numeric and algebraic situations.

7.B1 use estimation strategies to assess and justify the reasonableness of calculation results for integers and decimal numbers

7.B2 use mental math strategies for calculations involving integers and decimal numbers

7.B3 demonstrate an understanding of the properties of operations with decimal numbers and integers

7.B4 determine and use the most appropriate computational method in problem situations involving whole numbers and/or decimals

7.B5 apply the order of operations for problems involving whole and decimal numbers

7.B6 estimate the sum or difference of fractions when appropriate

7.B7 multiply mentally a fraction by a whole number and vice versa

7.B8 estimate and determine percent when given the part and the whole

7.B9 estimate and determine the percent of a number

7.B10 create and solve problems that involve the use of percent

7.B11 add and subtract integers concretely, pictorially, and symbolically to solve problems

7.B12 multiply integers concretely, pictorially, and symbolically to solve problems

7.B13 divide integers concretely, pictorially, and symbolically to solve problems

7.B14 solve and pose problems which utilize addition, subtraction, multiplication, and division of integers

7.B15 apply the order of operations to integers

7.B16 create and evaluate simple variable expressions by recognizing that the four operations apply in the same way a they do for numerical expressions

7.B17 distinguish between like and unlike terms

7.B18 add and subtract like terms by recognizing the parallel with numerical situations, using concrete and pictorial models

7 Patterns and Relations

7.C Students will explore, recognize, represent and apply patterns and relationships, both informally and formally.

7.C1 describe a pattern, using written and spoken language and tables and graphs

7.C2 summarize simple patterns, using constants, variables, algebraic expressions, and equations, and use them in making predictions

7.C3 explain the difference between algebraic expressions and algebraic equations

7.C4 solve one- and two-step single-variable linear equations, using systematic trial

7.C5 illustrate the solution for one- and two-step single-variable linear equations, using concrete materials and diagrams

7.C6 graph linear equations, using a table of values

7.C7 interpolate and extrapolate number values from a given graph

7.C8 determine if an ordered pair is a solution to a linear equation

7.C9 construct and analyse graphs to show how change in one quantity affects a related quantity

7 Shape and Space

7.D Students will demonstrate an understanding of and apply concepts and skills associated with measurement.

7.D1 identify, use, and convert among the SI units to measure, estimate, and solve problems that relate to length, area, volume, mass, and capacity

7.D2 apply concepts and skills related to time in problem situations

7.D3 develop and use rate as a tool for solving indirect measurement problems in a variety of contexts

7.D4 construct and analyse graphs of rates to show how change in one quantity affects a related quantity

7.D5 demonstrate an understanding of the relationships among diameter, radii, and circumference of circles, and use the relationships to solve problems

7.E Students will demonstrate spatial sense and apply geometric concepts, properties and relationships.

7.E1 decide and justify which combinations of triangle classifications are possible, through construction using materials and/or technology

7.E2 determine and use relationships between angle measures and side lengths in triangles

7.E3 construct angle bisectors and perpendicular bisectors, using a variety of methods

7.E4 apply angle pair relationships to find missing angle measures

7.E5 identify, construct, classify, and use angle pair relationships pertaining to parallel lines and non-parallel lines and their transversals

7.E6 apply angle relationships to find angle measures

7.E7 explain, using a model, why the sum of the measures of the angles of a triangle is 180°

7.E8 sketch and build 3-D objects, using a variety of materials and information about the objects

7.E9 draw, describe, and apply translations, reflections, and rotations, and their combinations, and identify and use the properties associated with these transformations

7.E10 create and describe designs using translation, rotation, and reflection

7 Data Management and Probability

7.F Students will solve problems involving the collection, display and analysis of data.

7.F1 communicate through example the distinction between biased and unbiased sampling, and first- and second-hand data

7.F2 formulate questions for investigation from relevant contexts

7.F3 select, defend, and use appropriate data collection methods and evaluate issues to be considered when collecting data

7.F4 construct a histogram

7.F5 construct appropriate data displays, grouping data where appropriate and taking into consideration the nature of the data

7.F6 read and make inferences for grouped and ungrouped data displays

7.F7 formulate statistics projects to explore current issues from within mathematics, other subject areas, or the world of students

7.F8 determine measures of central tendency and how they are affected by data presentations and fluctuations

7.F9 draw inferences and make predictions based on the variability of data sets, using range and the examination of outliers, gaps, and clusters

7.G Students will represent and solve problems involving uncertainty.

7.G1 identify situations for which the probability would be near 0, 1//4, 1/2, 3/4, and 1

7.G2 solve probability problems, using simulations and by conducting experiments