NCTM Standards /Excel Math Correlation Kindergarten Excel Math Lesson Numbers

Transcription

1 Number and Operations Standard NCTM Standards / Correlation Understand numbers, ways of representing numbers, relationships among numbers, and number systems Count with understanding and recognize "how many" in sets of objects; Use multiple models to develop initial understandings of place value and the base-ten number system; Develop understanding of the relative position and magnitude of whole numbers and of ordinal and cardinal numbers and their connections; Develop a sense of whole numbers and represent and use them in flexible ways, including relating, composing, and decomposing numbers; Connect number words and numerals to the quantities they represent, using various physical models and representations; Understand and represent commonly used fractions, such as 1/4, 1/3, and 1/2. 13, 14, 17, 18, 22, 24, 26, 28, 32, 33, 36, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 54, 58, 60, 61, 62, 64, 66, 67, 68, 70, 72, 73, 74, 76, 78, 79, 82, 83, 85, 86, 87, 88, 90, 91, 92, 95, 96, 99, 100, 101, 102, 103, 105, 106, 107, 109, 113, 114, 116, 118, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 132, 133, 134, 136, 137, 139, 140, 141, 142, 143, 144, 145, 147, 148, 149, 150, 153, 155, 156, 157, 159, 160, 162, 163, 164, 166, 168, 169, 170, 174, 175, 176, 177, 179, 180, 181, 182, 183, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, 197, 199, , 96, 101, 114, 116, 123, 128, 134, 137, 140, 145, 149, 150, 156, 159, 162, 166, 175, 176, 179, 180, 182, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, 197, 199, , 42, 43, 46, 58, 62, 67, 72, 73, 74, 79, 86, 87, 90, 103, 118, 122, 133, 139, 144, 147, 148, 150, 155, 168, 170, 176, 180, 181, 182, 186, 187, 189, 192, 196, 197, 199, , 13, 14, 17, 18, 24, 27, 32, 33, 36, 37, 38, 40, 41, 43, 44, 46, 47, 48, 49, 51, 53, 54, 60, 64, 67, 68, 70, 72, 73, 78, 79, 82, 83, 87, 88, 90, 92, 100, 101, 103, 105, 107, 113, 114, 118, 119, 121, 122, 123, 124, 126, 128, 129, 131, 132, 133, 134, 136, 137, 139, 140, 141, 143, 144, 145, 147, 149, 150, 153, 155, 156, 160, 162, 163, 168, 169, 170, 174, 175, 176, 177, 179, 180, 181, 183, 186, 187, 189, 190, 192, 194, 195, 196, 197, 199, , 13, 14, 17, 18, 22, 24, 26, 27, 28, 32, 33, 36, 37, 38, 40, 41, 43, 44, 46, 47, 48, 49, 51, 52, 54, 58, 60, 61, 62, 64, 66, 67, 68, 70, 72, 74, 76, 78, 82, 83, 85, 86, 87, 88, 91, 92, 96, 99, 100, 101, 103, 105, 107, 109, 113, 114, 115, 116, 119, 120, 121, 122, 123, 124, 126, 127, 128, 129, 130, 131, 132, 133, 134, 136, 137, 140, 141, 142, 143, 144, 145, 149, 150, 153, 155, 156, 157, 159, 160, 162, 163, 164, 166, 168, 169, 174, 175, 177, 179, 180, 181, 182, 183, 185, 186, 187, 188, 189, 190, 192, 194, 195, 196, 197, 199, gives opportunity to extend the concept Understand meanings of operations and how they relate to one another Understand various meanings of addition and subtraction of whole numbers and the relationship between the two operations; 92, 95, 102, 105, 113, 119, 121, 124, 126, 129, 131, 132, 136, 141, 143, 150, 153, 156, 160, 163, 166, 174, 175, 179, 180, 182, 183, 186, 187, 189, 190, 194, 195, 196, 197, 199, 200 1

2 Understand the effects of adding and subtracting whole numbers; NCTM Standards / Correlation 92, 95, 102, 105, 113, 119, 121, 124, 126, 127, 129, 131, 132, 136, 141, 143, 150, 153, 156, 160, 163, 166, 174, 175, 179, 180, 182, 183, 186, 187, 189, 190, 194, 195, 196, 197, 199, 200 Understand situations that entail multiplication and division, such as equal groupings of objects and sharing equally. 41, 44, 52, 54, 68, 79, 90, 165 Compute fluently and make reasonable estimates Develop and use strategies for whole-number computations, with a focus on addition and subtraction; Develop fluency with basic number combinations for addition and subtraction; Use a variety of methods and tools to compute, including objects, mental computation, estimation, paper and pencil, and calculators. 92, 103, 105, 113, 119, 124, 126, 127, 129, 131, 132, 136, 141, 143, 150, 153, 156, 160, 163, 166, 174, 175, 179, 180, 182, 183, 186, 187, 189, 190, 194, 195, 196, 197, 199, , 95, 102, 103, 105, 113, 119, 124, 126, 129, 131, 132, 136, 141, 143, 150, 153, 156, 160, 166, 175, 179, 180, 182, 183, 186, 187, 189, 190, 194, 195, 196, , 103, 105, 113, 119, 124, 126, 129, 131, 132, 136, 141, 143, 150, 153, 156, 160, 163, 166, 174, 175, 179, 180, 183, 186, 187, 189, 190, 194, 195, 196, 197, 199, 200 Algebra Standards Understand patterns, relations, and functions Sort, classify, and order objects by size, number, and other properties; Recognize, describe, and extend patterns such as sequences of sounds and shapes or simple numeric patterns and translate from one representation to another; Analyze how both repeating and growing patterns are generated. 10, 11, 19, 20, 22, 26, 28, 30, 31, 38, 39, 45, 52, 57, 59, 63, 104, 154, 172, , 19, 20, 29, 30, 45, 57, 63, 71, 172, , 29, 30, 71, 172, 178 Represent and analyze mathematical situations and structures using algebraic symbols Illustrate general principles and properties of operations, such as commutativity, using specific numbers; Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations. 92, 119, 137, 149, 176, 182, 199, , 52, 92, 119, 157, 164, 176 2

3 NCTM Standards / Correlation Use mathematical models to represent and understand quantitative relationships Model situations that involve the addition and subtraction of whole numbers, using objects, pictures, and symbols. 92, 105, 113, 124, 126, 127, 129, 131, 132, 136, 137, 141, 149, 150, 153, 156, 163, 166, 174, 175, 179, 180, 182, 186, 187, 189, 194, 195, 196, 197, 199, 200 Analyze change in various contexts Describe qualitative change, such as a student's growing taller; Describe quantitative change, such as a student's growing two inches in one year. Geometry Standards Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships Recognize, name, build, draw, compare, and sort two- and three-dimensional shapes; Describe attributes and parts of two- and threedimensional shapes; 21, 39, 56, 65, 75, 80, 99, 154, 171, 172, 178, , 21, 39, 65, 75, 99 Investigate and predict the results of putting together and taking apart two- and threedimensional shapes. Specify locations and describe spatial relationships using coordinate geometry and other representational systems Describe, name, and interpret relative positions in space and apply ideas about relative position; Describe, name, and interpret direction and distance in navigating space and apply ideas about direction and distance; Find and name locations with simple relationships such as "near to" and in coordinate systems such as maps. 1, 3, 5, 7, 9, 15, 35, 41, 55, 63, 152, 171, , 35, 55, 63, 94, , 104, 152, 171, 191 Apply transformations and use symmetry to analyze mathematical situations Recognize and apply slides, flips, and turns; 93 Recognize and create shapes that have symmetry. 8, 21, 31, 39, 75 3

4 NCTM Standards / Correlation Use visualization, spatial reasoning, and geometric modeling to solve problems Create mental images of geometric shapes using spatial memory and spatial visualization; Recognize and represent shapes from different perspectives; Relate ideas in geometry to ideas in number and measurement; Recognize geometric shapes and structures in the environment and specify their location. 65, 80, 99, 106 8, 9, 21, 31, 39, 65, 75, 80, 99 56, 60, 65, 73, 78, 80, 82, 83, 87, 88, 105, 121, 126, 131, 173, 187 8, 21, 22, 24, 26, 28, 31, 33, 98, 101, 104, 117, 160, 165, 174, 183 Measurement Standards Understand measurable attributes of objects and the units, systems, and processes of measurement Recognize the attributes of length, volume, weight, area, and time; Compare and order objects according to these attributes; Understand how to measure using nonstandard and standard units; Select an appropriate unit and tool for the attribute being measured. 6, 25, 34, 50, 77, 84, 110, 111, 115, 125, 151, 152, 158, 161, 167, 184 2, 6, 25, 34, 50, 77, 125, 151, 152, 158, 167, , 34, 50, 77, 110, 111, 115, 125, 151, 152, 158, 161, 167, , 111, 115, 125, 151, 152, 158, 161, 167, 184 Apply appropriate techniques, tools, and formulas to determine measurements Measure with multiple copies of units of the same size, such as paper clips laid end to end; Use repetition of a single unit to measure something larger than the unit, for instance, measuring the length of a room with a single meterstick; 151, 158, , 151, 158, 184 Use tools to measure; 77, 110, 111, 115, 125, 151, 158, 161, 167, 184 Develop common referents for measures to make comparisons and estimates. 25, 34, 77, 84, 110, 115, 125, 151, 152, 158, 161, 167, 184 4

5 Data Analysis and Probability Standards NCTM Standards / Correlation Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them Pose questions and gather data about themselves and their surroundings; Sort and classify objects according to their attributes and organize data about the objects; Represent data using concrete objects, pictures, and graphs. 4, 16, 50, 59, 61, 69, 89, 93, 97, 98, 106, 108, 112, 117, 135, 146, 151, 165, 167, 173, 184, 193 4, 16, 50, 59, 69, 89, 98, 106, 108, 112, 135, 138, 146, 151, 165, 167, 173, 184, , 61, 69, 89, 93, 98, 106, 117, 138, 146, 151, 165, 167, 173, 184, 193 Select and use appropriate statistical methods to analyze data Describe parts of the data and the set of data as a whole to determine what the data show. 50, 61, 93, 98, 106, 117, 138, 146, 151, 165, 167, 173, 184, 193 Develop and evaluate inferences and predictions that are based on data Discuss events related to students' experiences as likely or unlikely. 50, 61, 98, 106, 108, 112, 117, 138, 146, 151, 165, 167, 173, 184, 193 Understand and apply basic concepts of probability - Problem Solving Build new mathematical knowledge through problem solving; 69, 89, 112, 121, 135, 152, 160, 183 Solve problems that arise in mathematics and in other contexts; Apply and adapt a variety of appropriate strategies to solve problems; Monitor and reflect on the process of mathematical problem solving. 5

6 Reasoning and Proof Standards NCTM Standards / Correlation Recognize reasoning and proof as fundamental aspects of mathematics; All Lessons apply Make and investigate mathematical conjectures; Develop and evaluate mathematical arguments and proofs; Select and use various types of reasoning and methods of proof. Communication Standard Organize and consolidate their mathematical thinking through communication; All Lessons apply Communicate their mathematical thinking coherently and clearly to peers, teachers, and others; Analyze and evaluate the mathematical thinking and strategies of others; Use the language of mathematics to express mathematical ideas precisely. Connections Standards Recognize and use connections among mathematical ideas; All Lessons Apply Understand how mathematical ideas interconnect and build on one another to produce a coherent whole; Recognize and apply mathematics in contexts outside of mathematics. Representation Standards Create and use representations to organize, record, and communicate mathematical ideas; All Lessons apply Select, apply, and translate among mathematical representations to solve problems; Use representations to model and interpret physical, social, and mathematical phenomena. 6