Math- Third 9 weeks

This curriculum map is a constantly monitored and edited document by building specific administration and teachers. Changes may occur throughout the school year to stay updated with state requirements. Any questions regarding content should be directed towards the teacher of your child’s class or content area.

Overview

Unit 8: Multiplying Fractions and Mixed Numbers

Unit 9: Dividing Fractions

Unit 16: Classifying Two-Dimensional Figures

Unit 10: Area, Perimeter, and Volume

Unit 12: Represent and Interpret Data

Standards

Unit 8: Multiply Fractions and Mixed Numbers

5.C.5

Use visual fraction models and numbers to multiply a fraction by a fraction or a whole number.

5.AT.3

Solve real-world problems involving multiplication of fractions, including mixed numbers (e.g., by using visual fraction models and equations to represent the problem).

5.M.2

Find the area of a rectangle with fractional side lengths by modeling with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.

Unit 9: Divide Fractions

5.NS.2

Explain different interpretations of fractions, including: as parts of a whole, parts of a set, and division of whole numbers by whole numbers.

5.C.7

Use visual fraction models and numbers to divide a unit fraction by a non-zero whole number and to divide a whole number by a unit fraction.

5.AT.4

Solve real-world problems involving division of unit fractions by non-zero whole numbers, and division of whole numbers by unit fractions (e.g., by using visual fraction models and equations to represent the problem).

Unit 16: Classify Two-Dimensional Figures

5.G.1

Identify, describe, and draw triangles (right, acute, obtuse) and circles using appropriate tools (e.g., ruler or straightedge, compass and technology). Understand the relationship between radius and diameter.

5.G.2

Identify and classify polygons including quadrilaterals, pentagons, hexagons, and triangles (equilateral, isosceles, scalene, right, acute and obtuse) based on angle measures and sides. Classify polygons in a hierarchy based on properties.

Unit 10: Area, Perimeter, and Volume

5.M.2

5.M.3

Develop and use formulas for the area of triangles, parallelograms and trapezoids. Solve real-world and other mathematical problems that involve perimeter and area of triangles, parallelograms and trapezoids, using appropriate units for measures.

5.M.4

Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths or multiplying the height by the area of the base.

5.M.5

Apply the formulas V = l × w × h and V = B × h for right rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths to solve real-world problems and other mathematical problems.

5.M.6

Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real-world problems and other mathematical problems.

Unit 12: Represent and Interpret Data

5.DS.1

Formulate questions that can be addressed with data and make predictions about the data. Use observations, surveys, and experiments to collect, represent, and interpret the data using tables (including frequency tables), line plots, bar graphs, and line graphs. Recognize the differences in representing categorical and numerical data.

5.DS.2

Understand and use measures of center (mean and median) and frequency (mode), to describe a data set.

Student Objectives: "I Can"

Unit 8: Multiply Fractions and Mixed Numbers

I can multiply a fraction by a fraction or a whole number.

I can solve real-world problems involving multiplication of fractions and mixed numbers.

I can find the area of a rectangle with fractional side lengths.

Unit 9: Divide Fractions

I can explain different interpretations of fractions including parts of a whole, parts of a set, and division of whole numbers by whole numbers.

I can divide a unit fraction by a non-zero whole number.

I can divide a whole number by a unit fraction.

I can solve real-world problems involving division of unit fractions by non-zero whole numbers.

I can solve real-world problems involving division of whole numbers by unit fractions.

Unit 16: Classify Two-Dimensional Figures

I can identify, describe, and draw triangles by their sides and angles.

I can identify parts of a circles.

I can understand the relationship between radius and diameter.

I can identify and classify polygons including quadrilaterals, pentagons, hexagons, and triangles by their sides and angles.

I can classify polygons in a hierarchy based on their properties.

Unit 10: Area, Perimeter, and Volume

I can find the area of a rectangle with whole number and fractional side lengths.

I can use formulas to find the area of triangles, parallelograms and trapezoids.

I can solve real-world problems that involve perimeter and area of triangles, parallelograms and trapezoids.

I can find the volume of a right rectangular prism with whole-number side lengths.

I can find the volume of right rectangular prisms by applying the formulas V=LWH and V=BH.

I can find the volume of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts.

Unit 12: Represent and Interpret Data

I can formulate questions that can be addressed with data and make predictions about the data.

I can use observations, surveys, and experiments to collect, represent, and interpret data using frequency tables, line plots, bar graphs, and line graphs.

I can understand and use mean, median, mode, and range to describe a data set.