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# Resource Packet

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### Resource Packet

3. 3. GPB Fourth Grade Session Resource Packet• Understand properties of multiplication and the relationship between multiplication and division.• Multiply and divide within 100.• Solve problems involving the four operations, and identify and explain patterns in arithmetic.• Use place value understanding and properties of operations to perform multi-digit arithmetic.• Develop understanding of fractions as numbers.• Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.• Represent and interpret data.• Geometric measurement: understand concepts of area and relate area to multiplication and to addition.• Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.• Reason with shapes and their attributes.4th Grade• Use the four operations with whole numbers to solve problems.• Gain familiarity with factors and multiples.• Generate and analyze patterns.• Generalize place value understanding for multi-digit whole numbers.• Use place value understanding and properties of operations to perform multi-digit arithmetic.• Extend understanding of fraction equivalence and ordering.• Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.• Understand decimal notation for fractions, and compare decimal fractions.• Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.• Represent and interpret data.• Geometric measurement: understand concepts of angle and measure angles.• Draw and identify lines and angles, and classify shapes by properties of their lines and angles.5th Grade• Write and interpret numerical expressions.• Analyze patterns and relationships.• Understand the place value system.• Perform operations with multi-digit whole numbers and with decimals to hundredths.• Use equivalent fractions as a strategy to add and subtract fractions.• Apply and extend previous understandings of multiplication and division to multiply and divide fractions.• Convert like measurement units within a given measurement system.• Represent and interpret data. Georgia Department of Education Dr. John D. Barge, State School Superintendent Feb 16, 2012 Page 3 of 16 All Rights Reserved
4. 4. GPB Fourth Grade Session Resource Packet• Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.• Graph points on the coordinate plane to solve real-world and mathematical problems.• Classify two-dimensional figures into categories based on their properties.Resources:Teaching Guides/CCGPS: https://www.georgiastandards.org/Pages/default.aspxhttps://portal.doe.k12.ga.us/Login.aspxRekenrek: http://www.mathlearningcenter.org/media/Rekenrek_0308.pdfOpen Number Line:http://www.uwosh.edu/coehs/mindsongmath/concepts/documents/Empty_Number_Line.pdfMath Solutions Free Resources: http://www.mathsolutions.com/index.cfm?page=wp9&crid=122VandeWalle, “Teaching Student-Centered Mathematics, 3-5” (Sent to every GA elementary school,Fall 2011)Unit 1 Fourth Grade Webinar, 3:15, May 9, 2012 Georgia Department of Education Dr. John D. Barge, State School Superintendent Feb 16, 2012 Page 4 of 16 All Rights Reserved
5. 5. GPB Fourth Grade Session Resource Packet Take out the pattern block pieces and put circle on overhead.By looking at the common geometric shapes of pattern blocks students canexplore angles and their combinations, as well as lay some foundations forfurther study in geometry and the use of circle graphs.Angles are formed by two rays that intersect at a point called the vertex.The unit of measurement for angles was created by the Babylonians, and isformed by dividing a circle into 360 equal parts.By placing pattern blocks around the center of the circle so that theircorners (vertices) touch the center, students can determine the measure ofthe various angles formed by the corners of the different shapes. Forexample, with squares......and triangles. Georgia Department of Education Dr. John D. Barge, State School Superintendent Feb 16, 2012 Page 5 of 16 All Rights Reserved
6. 6. GPB Fourth Grade Session Resource PacketHow many degrees are in the corners shown around the centers of thesecircles?Can you use known angles to determine unknown angles?Give groups pattern blocks, paper plates and chart paper to show theirwork and share with class. Explain how you solved the angle problem!(This is in the back of Cloak for a Dreamer) Georgia Department of Education Dr. John D. Barge, State School Superintendent Feb 16, 2012 Page 6 of 16 All Rights Reserved
7. 7. GPB Fourth Grade Session Resource PacketMiss Guys Puppy Problem (Handout 4)Miss Guy has a very energetic puppy. The puppy loves toplay outdoors, so Miss Guy decided to build a pen to allowher pet to be outside while she is at school. She justhappens to have 50 feet of fencing in her basement thatshe can use for the pen.What are some of the ways she can set up the pen thatuses all the fencing?What are the dimensions of the rectangular pen with themost space available for the puppy to play?Write a letter to Miss Guy explaining her choices andwhich pen you would recommend she build. Be sure toshow how you made your decisions and include amathematical representation to support your solution. Georgia Department of Education Dr. John D. Barge, State School Superintendent Feb 16, 2012 Page 7 of 16 All Rights Reserved