Unit 1 Math Plans Lesson: 1.2 Points, Line Segments, Lines, & Rays Mathematical Practices: SMP1, SMP2, SMP4, SMP5, SMP6, SMP7 Focus on SMP2: Reason abstractly and quantitatively. GMP2: Explain the meanings of the numbers, words, pictures, symbols, gestures, tables, graphs and concrete objects you and others use. Content Standards: 4.G.1 Materials/Prep: Math Journal, SRB, Notebook, MM p. 388-389, Slates, Markers, Socks, Ruler, Template, Compass, Calculator, Pencil, Study Link, Dice Instructional Objective: SWBAT become familiar with tools for geometry and review points, line segments, lines, and rays. Vocabulary: point, line segment, endpoint, line, ray Getting Started: Mental Math and Reflexes/Math message TM p. 24 1. Teaching the lesson (whole group): Math message follow up TM pg. 24; Reviewing Points, Line Segments, Lines, Rays; Endpoints; Drawing Line Segments, Lines, and Rays; & Journal p. 4 (independent) RSA – MM p. 388-389 2. Ongoing learning & practice (Partner Activity): Play Addition Top-It; Math Boxes Study Link- 1.2 3. Differentiation Options Readiness: Modeling Line Segments Enrichment: Solving a Collinear-Points Puzzle or Playing Sprouts ELL: Building Background for Mathematics words Lesson: 1.3 Angles, Triangles, & Quadrangles Mathematical Practices: SMP2, SMP3, SMP5, SMP6, SMP7 Focus on SMP2: Reason abstractly and quantitatively. GMP2.1: Represent problems and situations mathematically with numbers, words, pictures, symbols, gestures, tables, graphs, and concrete objects. Content Standards: 4.NBT.4, 4.G.1, 4.G.2 Materials/Prep: Journal, SRB, Notebook, Study Link, MM p. 388-389, Straightedge, slate, marker, sock, Advanced Prep: straws & twist-ties Instructional Objective: SWBAT construct angles, triangles, and quadrangles and classify quadrangles. Vocabulary: angle, vertex, right angle, triangle, quadrangle, quadrilateral, square, rhombus, rectangle, parallelogram, trapezoid, kite Getting Started: Mental Math and Reflexes/Math message TM p.30 1. Teaching the lesson (whole group): Review students’ answers to the Math Message & Review Vocabulary RSA – MM p. 388-389 Homework review: Review Study Link 1.2 with whole class Construct Angles, Constructing Triangles and Quadrangles & Journal p. 6 (independently) 2. Ongoing learning & practice: Journal pg. 7 (Independently) Students will work on adding and subtracting whole numbers. Math boxes 1.3 Study Link- 1.3 3. Differentiation Options Readiness: Sorting Pattern Blocks Enrichment: Solving a Polygon Puzzle Extra Practice: 5-Minute Math ELL: Comparing and Contrasting Quadrangles Lesson: 1.4 Parallelograms Mathematical Practices: SMP2, SMP3, SMP4, SMP5, SMP6, SMP7, SMP8 Focus on SMP8: Look for and express regularity in repeated reasoning. GMP8.2: Use properties, rules, and shortcuts to solve problems. Content Standards: 4.G.1, 4.G.2 Materials/Prep: Study Link 1.4, journal pages 10-11, SRB p.100, TM p.14, Geo. Template Instructional Objective: SWBAT classify quadrangles based on their properties. Getting Started: Mental Math and Reflexes/Math message TM p. 35 1. Teaching the lesson (whole group): Develop definitions of parallel lines, lines, line segments, and rays. Explore parallelograms and perpendicular line segments. Math journal pages 10-11 independently RSA – MJ 10 #2 & 3 2. Ongoing learning & practice (Partner or group work): Play Subtraction Top-it Math Boxes 1.4 Study Link- 1.4 3. Differentiation Options: Readiness: Exploring Parallel Line segments with Geoboards Enrichment: Solving the Straw-Squares Puzzles or Playing Sz’Kwa Lesson: 1.5 Polygons Mathematical Practices: SMP1, SMP2, SMP3, SMP5, SMP6, SMP7, SMP8 Focus on SMP8: Look for and express regularity in repeated reasoning. GMP8.1: Use patterns and structures to create and explain rules and shortcuts. Content Standards: 4.G.2 Materials/Prep: Journal p. 12, SRB p.97, Straws and twist-ties. Instructional Objective: SWBAT identify properties of polygons and distinguish between convex and nonconvex polygons; and explore geometric definitions and classification. Getting Started: Mental Math and Reflexes/Math message TM p. 1. Teaching the lesson (whole group): Define properties of polygons (SRB 97) and complete journal page 12 independently. RSA – MJ 12 #1 2. Ongoing learning & practice(Partner or group work): Math boxes - 1.5 p. 13 Study Link - 1.5 3. Differentiation Options: Readiness: Constructing Polygons Geoboard Exploring side angle properties Enrichment: Identifying Properties of Kites and Rhombuses Do them together Lesson: 1.6 Drawing Circles with a Compass Mathematical Practices: SMP1, SMP2, SMP5, SMP6, SMP7 Focus on SMP5: Use appropriate tools strategically. GMP5.2: Use mathematical tools correctly and efficiently. Content Standards: 4.G.1, 4.G.2 Materials/Prep: Math journal pp. 14-15, slate, compass, straightedge, cardboard, scissors. Instructional Objective: SWBAT use a compass to draw circles. Getting Started: Mental Math and Reflexes/Math message TM p. 1. Teaching the lesson (whole group): Demonstrate & practice drawing circles with a compass 2. Ongoing learning & practice (Partner or group work): Play Polygon Pair-Up Math boxes 1.6 RSA – MB #3 Study Link - 1.6 3. Differentiation Options: Enrichment: Solving an Inscribed-Square Puzzle Extra Practice: Creating Circle Designs Lesson: 1.7 Circle Constructions Mathematical Practices: SMP1, SMP2, SMP3, SMP4, SMP5, SMP6, SMP7 Focus on SMP1: make sense of problems and persevere in solving them GMP 1.6: Connect mathematical ideas and representations to one another Content Standards: 4.G.1, 4.G.2 Materials/Prep: Math journal p. 17-19, MM25, slate, templates, compass, tape, scissors. Instructional Objective: SWBAT define a circle; explore designs with circles. Getting Started: Mental Math and Reflexes/Math message TM p. 1. Teaching the lesson (whole group): Practice constructing circles using MJP 17-18. RSA – MJ 17 Review concentric circles MJP 19 2. Ongoing learning & practice (Partner or group work): Play Polygon pair-up Math Boxes 1.7 Study Link - 1.7 3. Differentiation Options: Readiness: Drawing Tangent Circles Enrichment: Using Diameter, Chords, and Radii ELL: Building a Math Word Bank Lesson: 1.8 Hexagon and Triangle Constructions Mathematical Practices: SMP2, SMP5, SMP6, SMP7 Focus on SMP6: Attend to precision. GMP 6.2: Use the level of precision you need for a problem. Content Standards: 4.G.1, 4.G.2 Materials/Prep: Math Journal, SRB, Study Link, Template, Compass, Crayons, straightedge Instructional Objective: TSW construct figures with a compass and straightedge. Getting Started: Mental Math and Reflexes/Math message TM p. 1. Teaching the lesson (whole group): Math message follow up; Making Constructions with a Compass and a Straightedge; MJ p.21-22; Constructing an Inscribed Regular Hexagon; & MJ p. 23-24 2. Ongoing learning & practice (Partner or group work): Defining Geometric Figures MJ p. 25 & Math Boxes 1.8 RSA – MB #1 Study Link - 1.8 3. Differentiation Options: Readiness: Identifying a Regular Hexagon Enrichment: Creating 6-Point Designs Extra Practice: Inscribing an Equilateral Triangle in a Circle Lesson: Unit 1 Review Materials/Prep: old study links, journal, notebook, study guide Instructional Objective: SWBAT distinguish between lines, line segments, rays, parallel lines, intersecting lines, and perpendicular lines. SWBAT name lines, line segments, angles, and rays. They will be able to define what a polygon is and construct various polygons. SWBAT distinguish between convex polygons and concave polygons. They will construct concentric circles and congruent polygons. Math message: What is a polygon? Draw and Label - Line AB, Line Segment CD, Ray EF, Angle DEF. Draw a concave polygon. Construct a Concentric circle. Draw 2 congruent polygons. 1. Teaching the lesson (whole group): Study guide 2. Ongoing learning & practice (Partner or group work): Math boxes 1.9 Study Link - STUDY UNIT 1