# PENNSYLVANIA. List properties, classify, draw, and identify geometric figures in two dimensions.

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1 Know: Understand: Do: CC A.1 -- Draw lines and angles and identify these in two-dimensional figures. CC A.2 -- Classify twodimensional figures by properties of their lines and angles. CC A.3 -- Recognize symmetric shapes and draw lines of symmetry. -- Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. M04.C-G Classify twodimensional 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. List properties, classify, draw, and identify geometric figures in two dimensions. Utilize standards for mathematical proficiency through the use of reasoning, problem solving, modeling, decision making, and engagement. CC A.1 -- Draw lines and angles and identify these in twodimensional figures. CC A.2 -- Classify two-dimensional figures by properties of their lines and angles. CC A.3 -- Recognize symmetric shapes and draw lines of symmetry. -- Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. M04.C-G 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. M04.C-G Recognize a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into mirroring parts. Identify line-symmetric figures and draw lines of symmetry (up to two lines of symmetry). M04.D-M Measure angles in whole-number degrees using a protractor. With the aid of a protractor, sketch angles of specified measure. M04.D-M Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems. (Angles must be adjacent and non-overlapping.) CC A.6 -- Measure angles and use properties of adjacent angles to solve problems. Page 1 of 4

2 Know: Understand: Do: M04.C-G Recognize a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into mirroring parts. Identify line-symmetric figures and draw lines of symmetry (up to two lines of symmetry). M04.D-M Measure angles in whole-number degrees using a protractor. With the aid of a protractor, sketch angles of specified measure. M04.D-M Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems. (Angles must be adjacent and nonoverlapping.) CC A.6 -- Measure angles and use properties of adjacent angles to solve problems. Page 2 of 4

3 Which standards are students learning in this unit? M4.C Match or plot the ordered pair with the appropriate point (or object) on a simple grid 4.MD.5a -- Important 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 -- Important An angle that turns through n one-degree angles is said to have an angle measure of n degrees. 4.MD.6 -- Important Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure. 4.MD.7 -- Important 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. CC A.1 -- Draw lines and angles and identify these in two-dimensional figures. CC A.2 -- Classify two-dimensional figures by properties of their lines and angles. CC A.3 -- Recognize symmetric shapes and draw lines of symmetry. -- Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. M04.C-G 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. M04.C-G Recognize a line of symmetry for a twodimensional figure as a line across the figure such that the figure can be folded along the line into mirroring parts. Identify line-symmetric figures and draw lines of symmetry (up to two lines of symmetry). M04.D-M Measure angles in whole-number degrees using a protractor. With the aid of a protractor, sketch angles of specified measure. Page 3 of 4

4 M04.D-M Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems. (Angles must be adjacent and non-overlapping.) CC A.6 -- Measure angles and use properties of adjacent angles to solve problems. Page 4 of 4

5 Key Learning: List properties, classify, draw, and identify geometric figures in two dimensions. Utilize standards for mathematical proficiency through the use of reasoning, problem solving, modeling, decision making, and engagement. Unit Question(s): How do I analyze and measure geometric figures? Concept: Identify Figures CC A.1, CC A.2, CC A.3,, M04.C-G.1.1.2, M04.C-G Concept: Measuring Figures M04.D-M.3.1.1, M04.D-M.3.1.2, CC A.6, CC A.1 Lesson Question(s): How do I identify and draw points, lines, line segments, and rays? (A) How do I identify and draw perpendicular and parallel lines? (A) How do I identify and draw angles? (right, acute, obtuse) (A) How do I classify two-dimensional figures based on characteristics? (A) Lesson Question(s): How do I use a protractor to measure angles? (A) M04.D-M How do I use a protractor to draw angles? (A) M04.D-M.3.1.1, CC A.1 How do I use the properties of angles to solve problems? (A) M04.D-M M04.C-G.1.1.2, CC A.2 How do I identify and classify triangles? (length of sides and angles) (A) How do I recognize a line of symmetry? (up to 2 lines of symmetry) (A) CC A.3 Vocabulary: two-dimensional, triangle (right, acute, obtuse, scalene, equilateral, isosceles), square, rectangle, pentagon, hexagon, octagon, trapezoid, rhombus, parallelogram, circle, sides, plane figure, symmetry Vocabulary: protractor, degrees, angle, line, line segment, ray, point, perpendicular, parallel, angle, quadrilateral, unit Additional Information: Attached Document(s): Unit 7: Geometry Common Assessment Page 1 of 1

6 Vocab Report for Concept: Identify Figures two-dimensional, triangle (right, acute, obtuse, scalene, equilateral, isosceles), square, rectangle, pentagon, hexagon, octagon, trapezoid, rhombus, parallelogram, circle, sides, plane figure, symmetry - line, line segment, ray, point, perpendicular, parallel, angle, quadrilateral, unit - Concept: Measuring Figures protractor, degrees, angle - Page 1 of 1

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