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Spring Lake School District Mathematics Curriculum Grade 4 4-11 Geometry Time Frame Enduring Understanding(s) Mathematics Practices 1. 2. 3. 4. 5. 6. 7. 8. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structures. Look for and express regularity in repeated reasoning. Common Core Standards, 2010 4.MD.5a. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: 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.5b. Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement: 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. 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. 1 4-11 Geometry Spring Lake School District Mathematics Curriculum Grade 4 4.G.3. Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry. Learning Expectations WAL To/That… 11a WALT find the perimeter of a rectangle by adding the lengths of the sides. 11b WALT angles are measured in reference to a circle. Activities/Resources Student Strategies Formative Assessments Reflection http://www.mathsisfun.com/geometry/degrees.html 11c WALT angles are formed by two rays that share a common endpoint 11d WALT use a protractor to measure angles. 11e WALT use a protractor to draw angles of specified measure. 11f WALT angles can be broken down into smaller parts. 11g WALT use addition and subtraction to find the measure of an unknown angle in a diagram. 11h WALT use addition and subtraction equations to find the measure of an unknown angle in real world and mathematical problems. 11i WALT draw and label points. 11j WALT draw and label lines. 11k WALT draw and label line segments. 11l WALT draw and label rays. 11m WALT draw and label right angles. 11n WALT draw and label acute angles. 11o WALT draw and label obtuse angles. 11p WALT draw and label perpendicular lines. 11q WALT draw and label parallel lines. 11r WALT identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines in two- 2 4-11 Geometry Spring Lake School District Mathematics Curriculum Grade 4 dimensional figures. 11s WALT a right triangle has one right angle. 11t WALT classify figures based on their sides. 11u WALT classify figures based on their angles. 11v WALT a line of symmetry is a line on which a figure can be folded so the two parts match exactly. 11w WALT a symmetric figure has at least one line of symmetry. 11x WALT identify line symmetric figures. 11y WALT draw lines of symmetry on line symmetric figures. 11z WALT identify the parts of circles. 11aa WALT identify congruent and similar figures. 11bb WALT identify the result of motion as a flip, slide or turn. 11cc WALT find the volume of a rectangular prisms. 11dd WALT locate points on a coordinate grid. 11ee WALT use coordinates to give or follow directions from one point to another on a map or grid. 11ff WALT identify solid figures by their faces, edges, and vertices 11gg WALT identify and extend patterns. 11hh WALT find the rule of an input/output table. 11ii WALT find the rule of an input/ouput table and write it as an equation. Summative Assessment Task(s) We can… 3 4-11 Geometry