An Overview of Mathematics 4

Transcription

1 An Overview of Mathematics 4

2 Number (N) read, write, represent, and describe whole numbers to using concrete materials, pictures, expressions (e.g., ), words, place-value charts, and symbols describe numbers to in two or more parts (partition) explore place value (ones, tens, hundreds, thousands) to compare and order whole numbers to represent and describe decimal numbers (tenths and hundredths) using concrete materials, money, pictures, expressions, words, and symbols read, write, and recognize decimal number symbols (to hundredths) compare and order decimal numbers (tenths and hundredths) name and record fractions of a set and fractions of one whole learn to use common fractions and decimal numbers to describe real-life situations represent and describe fractions using concrete materials, pictures, and symbols compare fractions using concrete materials, pictures, words, and symbols understand and show the relationship between decimals and fractions ( 4 can also be represented 10 as 0.4) explain why different representations of the same number are equal estimate sums, differences, products, and quotients explain the reasons for our estimates choose appropriate estimates solve addition and subtraction questions mentally using a variety of strategies add and subtract whole numbers solve and create story problems that add and subtract whole numbers add and subtract decimal numbers (to hundredths) solve and create story problems that add and subtract decimal numbers (to hundredths) represent multiplication and division problems concretely, pictorially, and symbolically recall basic multiplication facts and determine basic division facts multiply two- or three-digit whole numbers by one-digit numbers using concrete models, pictures, symbols, and personal strategies divide one- and two-digit whole numbers by one-digit divisors using concrete models, pictures, symbols, and personal strategies solve and create story problems that multiply and divide whole numbers use a calculator for problems that involve larger whole numbers Overview of Mathematics 4 1

3 Patterns and Relations (PR) identify and describe (orally and in writing) patterns identify and describe patterns found in charts and tables, such as the multiplication table determine missing elements in a pattern, table, and chart identify errors in a pattern, table, and chart create a table or chart from a pattern shown concretely use information in a problem to create a table or chart create a pattern concretely from a table or chart explain why the same pattern exists whether it is shown concretely, in a table, or in a chart use patterns in tables or charts to solve problems use diagrams (Carroll diagrams and Venn diagrams) to sort and organize information and to solve problems describe the patterns and relationships shown in a given Carroll diagram or Venn diagram use a symbol to represent the unknown number in an addition, subtraction, multiplication, or division problem (e.g., 24 6 =? 24 = 6? or 24 = 6 ) write an equation with an unknown to represent a given story problem create a story problem for a given equation having one unknown solve one-step equations having one unknown represent addition, subtraction, multiplication, and division situations with an equation having one unknown Overview of Mathematics 4 2

4 Measurement (M) identify the number of hours in a day read and write time from a 12-hour analog clock, a 24-hour analog clock, and a 24-hour digital clock describe time as minutes to or minutes after the hour describe time as a.m. or p.m. and identify activities that occur during the a.m. and/or during the p.m. read and write dates in a variety of forms (e.g., March 21, 2015; 2015/03/21; 21/03/2015; or 21/03/15) describe area as the measure of the space inside a 2-D shape identify personal referents for a square centimetre and a square metre identify standard units (square centimetre and square metre) for area estimate area in square centimetres and square metres determine the area of regular and irregular 2-D shapes in square centimetres and square metres recognize and demonstrate that different rectangles can have the same inside space (area) recognize and demonstrate that for any given area, many different rectangles are possible draw rectangles for a given area solve problems involving area Overview of Mathematics 4 3

5 Geometry (G) recognize, name, and describe rectangular prisms and triangular prisms sort prisms using the shape of the base construct rectangular and triangular prisms from their nets construct models for rectangular and triangular prisms using concrete materials identify rectangular and triangular prisms in the real world investigate rectangular and triangular prisms to see the differences in the number of vertices, edges, and faces of each determine if two 2-D shapes are congruent create congruent 2-D shapes identify congruent 2-D shapes shown in different positions identify lines of symmetry in 2-D shapes create symmetrical shapes find examples of symmetry in the real world determine if a 2-D shape is symmetrical complete a symmetrical drawing when given one-half of the shape Overview of Mathematics 4 4

6 Statistics and Probability (SP) read and interpret bar graphs and pictographs construct bar graphs and pictographs explore real-world issues and collect data to answer questions that we have use one-to-one and many-to-one correspondence to display data answer questions by reading and interpreting graphs Overview of Mathematics 4 5