**GRADE 5**

**Module 5:**

**Addition and Multiplication with Volume and Area**

Topic A
Concepts of VolumeKHAN ACADEMY Videos |
Topic BLessons 4-9 Volume and the Operations of Multiplication and AdditionKHAN ACADEMY Videos |
Area of Rectangular Figures with Fractional Side LengthsKHAN ACADEMY Videos |
Topic DDrawing, Analysis, and Classification of Two-Dimensional ShapesKHAN ACADEMY Videos |

**5TH GRADE Common Core Math Standards**

for Eureka Math Module 5

for Eureka Math Module 5

**3TH-5TH GRADE Common Core FOUNDATIONAL STANDARDS**

*(what students need to know from previous grades to experience success with the module)***for Eureka Math Module 5**

Number and Operations—Fractions5th Grade5.NF.4 Apply and extend previous understandings of multiplication and division to multiply and divide fractions. 5.NF.4.a Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.) Geometry3rd Grade3.G.1 Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. 4th Grade 4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. 4.G.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. Geometric measurement: understand concepts of angle and measure angles. |
Measurement and Data3rd Grade3.MD.5 Recognize area as an attribute of plane figures and understand concepts of area measurement. 3.MD.5.a A square with side length 1 unit, called “a unit square,” is said to have “one square unit” of area, and can be used to measure area. 3.MD.5.b A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units. 4th Grade4.MD.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor. 4.MD.5.a An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles. 4.MD.5.b An angle that turns through n one-degree angles is said to have an angle measure of n degrees. 4.MD.6 Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. 4.MD.7 Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure. |