# Math

Unit 7 Big Ideas

Students will be able to:

• Identify the number of sides, angles, and vertices of two-dimensional shapes.
• Sort quadrilaterals into categories (e.g., rhombuses, squares, and rectangles).
• Identify and use the appropriate tools and units of measurement, both customary and metric, to solve real-world problems involving length, weight, mass, liquid volume, and capacity (within the same system and unit).
• Fluently (i.e. automatic recall based on understanding) multiply and divide within 100.

___________________________________________________________________________Unit 6 Big Ideas

Students will be able to:

• Select and apply the appropriate methods of computation when solving one- and two- step addition and subtraction problems with four-digit whole numbers through the thousands (e.g., visual representations, mental computation, paper-pencil.
• Solve one-step whole number equations involving addition, subtraction, multiplication, or division, including the use of a letter to represent the unknown quantity.
• Write an equation (e.g., one operation, one variable) to represent real-world problems involving whole numbers.

___________________________________________________________________________

Unit 5 Big Ideas

Students will be able to:

• Represent and understand a fraction as a number on a number line.
• Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
• Show and identify equivalent fractions using visual representations including pictures, manipulatives, and number lines.
• Compare and order fractions having the same numerators or denominators using visual representations, comparison symbols, and verbal reasoning.
• Apply the commutative, associative, and distributive properties as strategies to multiply and divide.
• Find the perimeter of polygons given the side lengths, and find an unknown side length.
• Use concrete and pictorial models to measure areas in square units by counting square units.
• Find the area of a rectangle with whole-number side lengths by modeling with unit squares, and show that the area is the same as would be found by multiplying the side lengths.
• Identify and draw rectangles with the same perimeter and different areas or with the same area and different perimeters.

___________________________________________________________________________

Unit 4 Big Ideas

Students will be able to:

• Represent and understand a fraction as a number on a number line.
• Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
• Show and identify equivalent fractions using visual representations including pictures, manipulatives, and number lines.
• Find parts of a whole and parts of a set using visual representations.
• Explain and demonstrate how fractions ¼, ½, ¾ and a whole relate to time, measurement, and money, and demonstrate using visual representation.
• Compare and order fractions having the same numerators or denominators using visual representations, comparison symbols, and verbal reasoning.
• Draw lines to separate two-dimensional figures into equal areas, and express the area of each part as a unit fraction of the whole.
• Tell and write time to the minute using both analog and digital clocks.
• Solve real-world problems involving addition and subtraction of time intervals and find elapsed time.
• Estimate and measure length to the nearest half inch, quarter inch, and centimeter.
• Create scaled pictographs and scaled bar graphs to represent a data set—including data collected through observations, surveys, and experiments—with several categories.
• Represent data using line plots where the horizontal scale is marked off in appropriate units—whole numbers, halves, or quarters.
• Solve problems and make simple statements about quantity differences (e.g., how many more and how many less) using information represented in pictographs and bar graphs.