VersaTiles Math Lab Correlated to Georgia Performance Standards. Grades K-8

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1 Cheryl Keck Educational Consultant Phone: ext VersaTiles Math Lab Correlated to Georgia Performance s Grades K-8

2 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Kindergarten Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M1N M1N1 M1N2 M1N3 M1N4 (Cite specific standard) Number and Operations Students will estimate, model, compare, order, and represent whole numbers up to 100. Understand place value notation for the numbers between 1 and 100. Students will add and subtract numbers less than 100 as well as understand and use the inverse relationship between addition and subtraction. Students will count collections of up to 100 objects by dividing them into equal parts and represent the results using words, pictures, or diagrams. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) M1M M1M1 Measurement Students will compare and/or order the length, weight, or capacity of two or more objects by using direct comparison or a nonstandard unit. Books 8 8:pgs 17 22

3 M1M2 Students will develop an understanding of the measurement of time. M1G M1G1 M1G2 M1G3 Geometry Students will study and create various two and three-dimensional figures and identify basic figures (squares, circles, triangles, and rectangles) within them. Students will compare, contrast, and/or classify geometric shapes by the common attributes of position, shape, size, number of sides, and number of corners. Students will arrange and describe objects in space by proximity, position, and direction (near, far, below, above, up, down, behind, in front of, next to, and left or right of). Books 4-7 4:pgs 9 10, 12, 14-15, 18-19, 22 4:pgs 2 8, 11, 13, 16-17, 20-21, :pgs 9-13, :pg 24 5:pgs 7-13 M1D M1D1 Data Analysis and Probability Students will create simple tables and graphs and interpret them. M1P M1P1 M1P2 M1P3 Process Skills Students will solve problems that arise in mathematics and in other contexts. Students will investigate, develop, andevaluate mathematical arguments. Students will use the language of mathematics to express ideas precisely. Book 5 5:pgs 1-4, 9-10, :pgs 23-24

4 M1P4 M1P5 Students understand how mathematical ideas interconnect and build on one another and apply mathematics in other content areas. Students will create and use pictures, manipulatives, models, and symbols to organize, record, and communicate mathematical ideas. 5:pgs 1-4, 9-24

5 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Level 1 Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M1N M1N1 M1N2 M1N3 M1N4 (Cite specific standard) Number and Operations Students will estimate, model, compare, order, and represent whole numbers up to 100. Understand place value notation for the numbers between 1 and 100. Students will add and subtract numbers less than 100 as well as understand and use the inverse relationship between addition and subtraction. Students will count collections of up to 100 objects by dividing them into equal parts and represent the results using words, pictures, or diagrams. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) Books 1 5, and 7 1:pgs 1 3, 5 9, 12 14, 16, 17, 21, 24, 29 and 30 7:pgs 18 25, 1:pgs 4, 15, 18 20, 22, 23, 25 28, 31 and 32 2:pgs 16 26, 31 and 32 3:pgs 1 20, 24, 25, :pgs 1 15, 18 25, :pgs :pgs 9, 10, 21, 22, 27, and 28 M1M M1M1 Measurement Students will compare and/or order the length, weight, or capacity of two or more objects by using direct comparison or a nonstandard unit. Books 2, 6, and 7 2:pgs :pgs, 18, 19, 24

6 M1M2 Students will develop an understanding of the measurement of time. 7:pgs 1 15 M1G M1G1 M1G2 M1G3 Geometry Students will study and create various two and three-dimensional figures and identify basic figures (squares, circles, triangles, and rectangles) within them. Students will compare, contrast, and/or classify geometric shapes by the common attributes of position, shape, size, number of sides, and number of corners. Students will arrange and describe objects in space by proximity, position, and direction (near, far, below, above, up, down, behind, in front of, next to, and left or right of). Books 5 and 6 5:pgs 6 8 6:pgs :pgs 1 4 M1D M1D1 Data Analysis and Probability Students will create simple tables and graphs and interpret them. Book 8 8:pgs 9 13, M1P M1P1 Process Skills Students will solve problems that arise in mathematics and in other contexts. Books 1 4, 6, 7, and 8 1:pgs 10 and 11 2:pgs 14 and 15 3:pgs 26 and 27 4:pgs 16, 17, 26 and 27 6:pgs 14 and 15 7:pgs 30 and 31 8:pgs 26 and 27

7 M1P2 M1P3 M1P4 M1P5 Students will investigate, develop, and evaluate mathematical arguments. Students will use the language of mathematics to express ideas precisely. Students understand how mathematical ideas interconnect and build on one another and apply mathematics in other content areas. Students will create and use pictures, manipulatives, models, and symbols to organize, record, and communicate mathematical ideas.

8 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Level 2 Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M2N M2N1 M2N2 M2N3 M2N4 M2N5 (Cite specific standard) Numbers and Operations Students will understand the place value representation of whole numbers through four digits. Students will build fluency with multi-digit addition and subtraction. Students will understand multiplication, multiply numbers, and verify results. Students will understand and compare common fractions with small denominators. Students will represent and interpret quantities and relationships using mathematical expressions including equality and inequality signs (=, <, >). Where Taught (If print component, cite page number; if non-print, cite appropriate location.) Books 1 5, and 7 1:pgs 1 6, 8, 9, 14, 15 21, 22, 23, 25, 26 2:pgs :pgs 30 and 32 2:pgs 1, 2, 6 8, 11, 14, 16, 17, 19 21, 24, 25, 31, and 32 4:pgs 1 4, 6 11, 16 20, 21 25, 30, and 31 7:pgs 15, 18, 19 23, and 29 3:pgs 1 8, 10, 11, 13 15, 18, 19 23, 25 27, 32 5:pgs 31 and 32 1:pgs 27 29, 32

9 M2M M2M1 M2M2 M2M3 Measurement Students will know the standard units of inch, foot, yard, and metric units of centimeter and meter and measure length to the nearest inch or centimeter. Students will tell time to the nearest five minutes and know relationships of time such as the number of minutes in an hour and hours in a day. Students will estimate, then measure, temperature (Fahrenheit) and determine if estimations were reasonable. Books 6 and 7 6:pgs 17 19, 29, 32 7:pgs :pgs 30 and 31 M2G M2G1 Geometry Students will describe and classify plane figures (triangles, square, rectangle, trapezoid, quadrilateral, pentagon, hexagon, and irregular polygonal shapes) according to the number of edges and vertices and the sizes of angles (right angle, obtuse, acute). Book 6 6:pgs 6 9 M2G2 M2G3 Students will describe and classify solid geometric figures (prisms, cylinders, cones, and spheres) according to such things as the number of edges and vertices and the number and shape of faces and angles. Students will describe the change in attributes as two and three-dimensional shapes are cut and rearranged. 6:pgs 6 9

10 M2D M2D1 Data Analysis and Probability Students will create simple tables and graphs and interpret their meaning. Book 8 8:pgs 7 10, M2P M2P1 M3P2 M3P3. M3P4 M3P5 Process Skills Students will solve problems that arise in mathematics and in other contexts. Students will investigate, develop, and evaluate mathematical arguments. Students will use the language of mathematics to express ideas precisely. Students will understand how mathematical ideas interconnect and build on one another and apply mathematics in other content areas. Students will create and use pictures, manipulatives, models, and symbols to organize, record, and communicate mathematical ideas. Books 1 4, 6, 7 and 8 1:pgs 30 and 31 2:pgs 12, 13, 22, and 23 3:pgs 16 and 17 4:pgs 14, 15, 28, and 29 6:pgs 14, 15, 26, and 27 7:pgs 16, 17, 30, and 31 8:pgs 1 6, 28, and 29

11 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Level 3 Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M3N M3N1 M3N2 M3N3 M3N4 M3N5 (Cite specific standard) Numbers and Operations understanding of whole numbers and ways of representing them. skills of addition and subtraction and apply them in problem solving. understanding of multiplication of whole numbers and develop the ability to apply it in problem solving. Students will understand the meaning of division and develop the ability to apply it in problem solving. Students will understand the meaning of decimal fractions and common fractions in simple cases and apply them in problemsolving situations. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) Books 1 6 1:pgs 2 7, and 14 2:pgs 1 6, 7 9, 12 15, 16 27, and 32 4:pgs :pgs 1 9, :pgs 1 15, and 18 4:pgs 1, 2, :pgs 1 13, and 16 6:pg 12 3:pgs 1, 18 27, 31 and 32 1:pgs 16 18, 28, and 29 4:pg 30

12 M3M M3M1 M3M2 M3M3 M3M4 Measurement understanding of the concept of time by determining elapsed time of a full, half and quarter-hour. Students will measure length choosing appropriate units and tools. Students will understand and measure the perimeter of simple geometric figures (squares and rectangles). Students will understand and measure the area of simple geometric figures (squares and rectangles). Books 6 and 7 6:pgs 3 and 4 7:pgs 1 6, 7, and 8 7:pgs :pg 12 M3G M3G1 Geometry understanding of geometric figures by drawing them. They will also state and explain their properties. Books 6 and 7 6:pgs 29 and 30 7:pgs 24 27, and 30 M3A M3A1 M3D M3D1 Algebra Students will use mathematical expressions to represent relationships between quantities and interpret given expressions. Data Analysis and Probability M3D1. Students will create and interpret simple tables and graphs. Books 2, 3, and 6 2:pgs 10 15, 26, and 27 3:pgs 11 13, 30 6:pgs 5, 6, 8, 13 15, 21, 22, 29, and 30 Book 8 8:pgs 1 4, 6 9, 17 22

13 M3P M3P1 M3P2 M3P3 M3P4 M3P5 Process Skills Students will solve problems that arise in mathematics and in other contexts. Students will investigate, develop, and evaluate mathematical arguments. Students will use the language of mathematics to express ideas precisely. Students will understand how mathematical ideas interconnect and build on one another and apply mathematics in other content areas. Students will create and use pictures, manipulatives, models, and symbols to organize, record, and communicate mathematical ideas. Books 1 8 1:pgs 22 and 23 2:pgs :pgs 16, 17, 28, and 29 4:pgs :pgs 14 and 15 6:pgs 16, 17, 26, and 27 7:pgs 14 and 15 8:pgs 10, 11, 20, and 21

14 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Level 4 Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M4N M4N1 M4N2 M4N3 M4N4 M4N5 (Cite specific standard) Numbers and Operations understanding of how whole numbers are represented in the base-ten numeration system. Students will understand and apply the concept of rounding numbers. Students will solve problems involving multiplication of 2-3 digit numbers by 1-2 digit numbers. understanding of division of whole numbers and divide in problem solving situations without calculators. understanding of the meaning of decimal fractions and use them in computations. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) Books 1 5 1:pgs 1 9, and 12 2:pgs 8 12, and 25 3:pgs 1 4, 6 9, 12, 13, 15 18, 22, 23, and :pgs 1 4, 6, 7, 10 13, 15 17, and :pgs 24, 25, 29, and 32 2:pgs 27, 28, and 32 3:pg 19

15 M4N6 M4N7 understanding of the meaning of common fractions and use them in computations. Students will explain and use properties of the four arithmetic operations to solve and check problems. 1:pgs 13 17, 21, and 22 5:pgs 1 8, 22, 23, 27, and 28 M4M M4M1 M4M2 Measurement M4M1. Students will understand the concept of weight and how to measure it. Students will understand the concept of angles and how to measure it. Book 7 7:pgs 4, 6, 7, and 8 M4G M4G1 M4G2 M4G3 Geometry Students will define and identify the characteristics of geometric figures through examination and construction. Students will understand fundamental solid figures. Students will use the coordinate system. Books 6 and 7 7:pgs :pgs 13, 15, 19, and 20 6:pgs M4A M4A1 Algebra Students will represent and interpret mathematical relationships in quantitative expressions. Books 2 4, and 6 2:pgs 1 3, and 16 3:pgs 5, 8, and 9 4:pg 5 6:pgs 5 8, 13 15, 20, and 21

16 M4D M4D1 M4P M4P1 M4P2 M4P3 M4P4 M4P5 Data Analysis and Probability Students will gather, organize, and display data according to the situation and compare related features. Process Skills Using the appropriate technology, students will solve problems that arise in mathematics and in other contexts. Students will investigate, develop, and evaluate mathematical arguments. Students will use the language of mathematics to express ideas precisely. Students will understand how mathematical ideas interconnect and build on one another and apply mathematics in other content areas. Students will create and use pictures, manipulatives, models, and symbols to organize, record, and communicate mathematical ideas. Book 8 8:pgs 1, 3, 4, and Books 1 8 1:pgs 10 12, 13, 22, 23, 30 and 31 2:pgs :pgs 20, 21, 28 and 29 4:pgs 18, 19, 28, and 29 5:pgs 18, 19, 30, and 31 6:pgs 16, 17, 26, and 27 7:pgs 30 and 31 8:pgs 14, 15, 22, and 23

17 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Level 5 Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M5N M5N1 M5N2 M5N3 M5N4 M5N5 (Cite specific standard) Numbers and Operations understanding of whole numbers. understanding of decimal fractions as part of the base-ten number system. understanding of the meaning of multiplication and division with decimal fractions and use them. Students will continue to develop their understanding of the meaning of common fractions and compute with them. Students will understand the meaning of percentage. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) Books 1, 3, 4, and 5 1:pgs 1, 2, 3, 5, 6, 18 20, and 23 1:pgs 7, 9 3:pgs 1, 5 10, 15 19, 22, 23, and 26 33, 4:pgs 12 14, and :pgs 7, 8, 16, 17, 21, 22, and :pgs 1 6, 12, 13, 15 17, 20, 21, 23, 24 29, 31, and 32 1:pg 30

18 M5M M5M1 M5M3 M5M4 Measurement Students will extend their understanding of area of fundamental geometric plane figures. Students will measure capacity with appropriately chosen units and tools. Students will understand and compute the volume of a simple geometric solid. Book 7 7:pgs 22 25, and 27 7:pgs 12 and 15 7:pgs 29 and 30 M5G M5G1 M5G2 Geometry Students will understand congruence of geometric figures and the correspondence of their vertices, sides, and angles. Students will understand the relationship of the circumference of a circle to its diameter is pi (p 3.14). Book 7 7:pg 7 M5A M5A1 Algebra Students will represent and interpret the relationships between quantities algebraically. Books 3 and 6 3:pgs 11 and 12 6:pgs 9 13, 16, 17, 18, 21, and 22 M5D M5D1 M5D2 Data Analysis and Probability Students will analyze graphs. Students will collect, organize, and display data using the most appropriate graph. Book 8 8:pgs 1 3, 14, 15, and 18 23

19 M5P M5P1 M5P2 M5P3 M5P4 M5P5 Process Skills Using the appropriate technology, students will solve problems that arise in mathematics and in other contexts. Students will investigate, develop, and evaluate mathematical arguments. Students will use the language of mathematics to express ideas precisely. Students will understand how mathematical ideas interconnect and build on one another and apply mathematics in other content areas. Students will create and use pictures, manipulatives, models, and symbols to organize, record, and communicate mathematical ideas. Books 1 8 1: pgs 14, 15, 28, and 29 2:pgs 12, 13, , and 31 3:pgs 20, 21, 24, 25, 30, and 31 4:pgs 8, 9, 16, 17, and :pgs 8, 9, 18, and 19 6:pgs 6, 7, 14, and 15 7:pgs 10, 11, 18, and 19 8:pgs 16, 17, 22, 23, 26, and 27

20 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Level 6 Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M6N M6N1 (Cite specific standard) Numbers and Operations Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) Books 1, 3, 4, 5 1:pgs 2, 7 13, 15 21, and :pgs 1 11, 14 19, 21, 22, 24 29, and 32 4:pgs 1 13, 16 20, and :pgs 24 29, and 32 M6M M6M1 M6M2 M6M3 Measurement Students will convert from one unit to another within one system of measurement (customary or metric) by using proportional relationships. Students will use appropriate units of measure for finding length, perimeter, area and volume and will express each quantity using the appropriate unit. Students will determine the volume of fundamental solid figures (right rectangular prisms, cylinders, pyramids and cones). Book 7 7:pgs 13 and 16 7:pg 17 7:pgs 29 and 31

21 M6M4 Students will determine the surface area of solid figures (right rectangular prisms and cylinders). M6G M6G1 M6G2 Geometry understanding of plane figures. understanding of solid figures. Books 5 and 7 5:pgs :pgs 5, 7, 9, and 10 7:pgs 5 7 M6A M6A1 M6A2 M6A3 Algebra Students will understand the concept of ratio and use it to represent quantitative relationships. Students will consider relationships between varying quantities. Students will evaluate algebraic expressions, including those with exponents, and solve simple one-step equations using each of the four basic operations. Books 1, 5, and 6 1:pgs 21 and 22 5:pgs 1 7, 14, and :pgs 7 and 8 6:pgs 1 3, 7 19, and M6D M6D1 M6D2 Data Analysis and Probability Students will pose questions, collect data, represent and analyze the data, and interpret results. Students will use experimental and simple theoretical probability and understand the nature of sampling. They will also make predictions from investigations. Book 8 8:pgs 1 10, and :pgs 24, 25, and 28 32

22 M6P M6P1 M6P2 M6P3 M6P4 M6P5 Process s Students will solve problems (using appropriate technology). Students will reason and evaluate mathematical arguments. Students will communicate mathematically. Students will make connections among mathematical ideas and to other disciplines. Students will represent mathematics in multiple ways. Books 1 8 1:pgs 22, 23, 26, and 27 2:pgs 18, 19, 22, 23, 30, and 31 3:pgs 12, 13, 20, 21, 30, and 31 4:pgs 8, 9, 14 17, 20, 21, and :pgs 18, 19, 30, and 31 6:pgs 6 and 7 7:pgs 18, 19, 24, and 25 8:pgs 22, 23, 26, and 27

23 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Level 7 Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M7N M7N1 M7G M7G1 M7G2 M7G3 M7G4 M7A M7A1 (Cite specific standard) Numbers and Operations Students will understand the meaning of positive and negative rational numbers and use them in computation. Geometry Students will construct plane figures that meet given conditions. Students will demonstrate understanding of transformations. Students will use the properties of similarity and apply these concepts to geometric figures. understanding of three-dimensional figures. Algebra Students will represent and evaluate quantities using algebraic expressions. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) Books 1 5 1:pgs 3, 4, 7, 11, 14 19, 23 25, and :pgs 3 5, 7 13, 15 19, 23, 24, 26, 27, 29, and :pgs 3 7, 10 15, 19 25, and :pgs 1 17, 20 23, and :pgs 20 29, and 32 Books 5 and 7 7:pgs 1 5 7:pgs 8 and 9 5:pgs 16 and 17 7:pgs 6 and 7 Book 6 6:pgs 1 3

24 M7A2 M7A3 Students will understand and apply linear equations in one variable. Students will understand relationships between two variables. 6:pgs 7 19, and :pgs M7D M7D1 Data Analysis and Probability Students will pose questions, collect data, represent and analyze the data, and interpret results. Book 8 8:pgs 1 15, 16, and 17 M7P M7P1 M7P2 M7P3 M7P4 Process Skills Students will solve problems (using appropriate technology). Students will reason and evaluate mathematical arguments. Students will communicate mathematically. Students will make connections among mathematical ideas and to other disciplines. Books 1 8 1:pgs 8, 9, 26, and 27 2:pgs 6, 7, 20, and 21 3:pgs 8, 9, 16, 17, 26, 27, 30, and 31 4:pgs 18, 19, 24, and 25 5:pgs 18, 19, 30, and 31 6:pgs 20, 21, 30, and 31 7:pgs 16, 17, 26, and 27 8:pgs 16, 17, 26, and 27 M7P5 Students will represent mathematics in multiple ways.

25 CORRELATION TO THE GEORGIA PERFORMANCE STANDARDS Subject Area: Mathematics State-Funded Course: Textbook Title: Versa Tiles, Level 8 Publisher: ETA/Cuisenaire The Georgia Performance s for grades K-8 Mathematics may be accessed on-line at: (Cite Number) M8N M8N1 (Cite specific standard) Numbers and Operations Students will understand different representations of numbers including square roots, exponents, and scientific notation. Where Taught (If print component, cite page number; if non-print, cite appropriate location.) M8G M8G1 M8G2 Geometry Students will understand and apply the properties of parallel and perpendicular lines and understand the meaning of congruence. Students will understand and use the Pythagorean theorem. Book 4 4: pg 21 M8A M8A1 Algebra Students will use algebra to represent, analyze, and solve problems. Books 1-5 1: pg 17 2: pgs : pgs : pgs : pgs 1-32

26 M8A2 M8A3 M8A4 M8A5 Students will understand and graph inequalities in one variable. Students will understand relations and linear functions. Students will graph and analyze graphs of linear equations. Students will understand systems of linear equations and use them to solve problems. 4: pg 12 5: pg 29 4: pgs : pgs and : pgs : pgs 20, 22 and : pgs 20, : pgs and M8D M8D1 M8D2 M8D3 M8D4 Data Analysis and Probability Students will apply basic concepts of set theory. Students will determine the number of outcomes related to a given event. Students will use the basic laws of probability. Students will organize, interpret, and make inferences from statistical data. M8P M8P1 Process s Students will solve problems (using appropriate technology). Book 5 M8P2 Students will reason and evaluate mathematical arguments.

27 M8P3 M8P4 M8P5 Students will communicate mathematically. Students will make connections among mathematical ideas and to other disciplines. Students will represent mathematics in multiple ways. 5: pgs 2-3, 8, 11-16, and 28-31