MATH CURRICULUM MAP - GRADE: 5
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1.5 Recognize and identify perfect squares and their roots. 1.8 Identify and use relation-ships between operations to solve problems. 1.11 Explain how place value is related to addition and subtraction of decimals. 5.6 Determine and use the range, mean, median and mode and explain what each does and does not indicate about the set of data. 5.11 Make predictions based on experimental and theoretical probabilities. |
1.13 Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies. 2.1 Identify and select appropriate units to measure angles. 2.5 Make conversions within the same measurement system while performing computations. 2.7 Use benchmark angles to estimate the measure of angles and use a tool to measure and draw angles. 3.2 Draw circles and identify and determine relationships among the radius, diameter, center and circumference. 3.3 Label vertex, rays, interior and exterior for an angle. 3.4 Describe and use properties of congruent figures to solve problems. 3.5 Use physical models to determine the sum of the interior angles of triangles and quadrilaterals. 3.7 Understand that the measure of an angle is determined by the degree of rotation of an angle side rather than the length of either side.
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1.4 Round decimals to a given place value and round fractions (including mixed numbers) to the nearest half. 1.12 Use physical models, points of reference and equivalent forms to add and subtract commonly used fractions with like and unlike denominators and decimals. 1.13 Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies. |
1.1 Use models and visual representation to develop the concept of ratio as part-to-part and part-to-whole, and the concept of percent as part-to-whole. 1.2 Use various forms of "one" to demonstrate the equivalence of fractions. 5.1 Read, construct and interpret frequency tables, circle graphs and line graphs. 5.3 Read and interpret increasingly complex displays of data. |
1.7 Use commutative, associative, distributive, identity and inverse properties to simplify and perform computations. 1.9 Use order of operations, including use of parentheses, to simplify numerical expressions. 1.10 Justify why fractions need common denominators to be added or subtracted. 1.12 Use physical models, points of reference and equivalent forms to add and subtract commonly used fractions with like and unlike denominators and decimals. 4.4 Create and interpret the meaning of equations and inequalities representing problem situations. 5.1 Read, construct and interpret frequency tables, circle graphs and line graphs. 5.2 Select and use a graph that is appropriate for the type of data to be displayed. 5.4 Determine appropriate data to be collected to answer questions posed by students or teacher, collect and display data and clearly communicate findings. 5.5 Modify initial conclusions, propose and justify new interpretations and predictions as additional data are collected. |
Refer to Course of Study for full explanation of subject objectives; many have been abbreviated to save space.
MATH CURRICULUM MAP
2nd SEMESTER GRADE: 5|
January |
February |
March |
April |
May |
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1.7 Use commutative, associative, distributive, identity and inverse proper-ties to simplify and perform computations. 1.9 Use order of operations, including use of parentheses, to simplify numerical expressions. 1.10 Justify why fractions need common denominators to be added or subtracted. 1.12 Use physical models, points of reference and equivalent forms to add and subtract commonly used fractions with like and unlike denominators and decimals. 4.4 Create and interpret the meaning of equations and inequalities representing problem situations. 5.1 Read, construct and interpret frequency tables, circle graphs and line graphs. 5.2 Select and use a graph that is appropriate for the type of data to be displayed. 5.4 Determine appropriate data to be collected to answer questions posed by students or teacher, collect and display data and clearly communicate findings. 5.5 Modify initial conclusions, propose and justify new interpretations and predictions as additional data are collected.
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1.3 Identify and generate equivalent forms of fractions, decimals and percents. 1.6 Represent and compare numbers less than 0 by extending the number line and using familiar applications. 1.10 Justify why fractions need common denominators to be added or subtracted. 1.13 Estimate the results of computations involving whole numbers, fractions and decimals, using a variety of strategies. |
2.2 Identify paths between points on a grid or coordinate plane and compare the lengths of the paths. 2.6 Use strategies to develop formulas for determining perimeter and area of triangles, rectangles and parallelograms, and volume of rectangular solids.3.6 Extend understanding of coordinate system to include points whose x or y values may be negative numbers. 5.3 Read and interpret increasingly complex displays of data. |
3.1 Draw circles, and identify and determine relationships among the radius, diameter, center and circumference. 3.8 Predict what three-dimensional object will result from folding a two-dimensional net and then confirm the prediction by folding the net. 4.1 Justify a general rule for a pattern or a function by using physical materials, visual representations, words, tables or graphs. 4.2 Use calculators or computers to develop patterns and generalize them using tables and graphs.4.3 Use variables as unknown quantities in general rules when describing patterns and other relationships. 4.5 Model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions and make predictions. 4.6 Describe how the quantitative change in a variable affects the value of a related variable. |
2.3 Demonstrate and describe the differences between covering the faces (surface area) and filling the interior (volume) of three-dimensional objects. 2.4 Demonstrate understanding of the differences among linear units, square units (2) and cubic units (3). 2.6 Use strategies to develop formulas for determining perimeter and area of triangles, rectangles and parallelograms, and volume of rectangular solids. 5.7 List and explain all possible outcomes in a given situation. 5.8 Identify the probability of events within a simple experiment, such as three changes out of eight. 5.9 Use 0, 1 and ratios between 0 and 1 to represent the probability of outcomes for an event, and associate the ratio with the likelihood of the outcome. 5.10 Compare what should happen with what did happen in a simple experiment. |
NOTE: BOLD Print is the month standard is to be introduced. Refer to Course of Study for full explanation of subject objectives; many have been abbreviated to save space.