Math
Math - Investigations 3
Our math program is called Investigations. It is an inquiry-based curriculum that encourages deep math thinking. Please reach out with any questions about the program.
Students have a log in for the Pearson Realize website. This will log them into their "Investigations" account.
Students Log-in with their LASID and the password provided by their teacher. The password for Pearson is NOT the same as the password they use for all other Newton accounts
Unit 1 - Arrays, Factors and Multiplicative Comparison
Students model multiplication situations using arrays. They use arrays to find factors and identify prime and composite numbers. Students gain familiarity with factors and multiples by using what they know about factors of 100 to find factors of multiples of 100. They examine the idea that factors of a number are also factors of a multiple of that number.
Unit 2 - Generating and Representing Measurement Data
Students record, organize, and represent data, including measuring and comparing the heights of first and fourth graders. They use line plots, other representations, and summary descriptions to model what their data show. Students choose their own measurement data question and collect data. They represent, analyze, and draw conclusions based on evidence from comparing two data sets.
Unit 3 - Multiple Towers and Cluster Problems
Students solve multiplication problems with small 2-digit numbers by breaking the numbers apart and representing their solutions with arrays. Students solve and represent division problems in story contexts, including problems with remainders.
Unit 4 - Measuring and Classifying Shapes
Students estimate and measure length in U.S standard and metric units and convert measurements from larger to smaller units. They measure the perimeter of shapes and use generalizable methods to determine the perimeter of rectangles. Students investigate the attributes of quadrilaterals and triangles. They focus on classifying polygons by the presence or absence of parallel lines and by angle size. Students use the Power Polygon™ pieces and what they know about right angles to identify, construct, and measure angles of varying degrees. They are introduced to a new measuring tool, the protractor, to measure angle sizes. Students make symmetrical designs and find lines of symmetry in those designs. They determine the area of polygons by decomposing shapes and using symmetry. They find the area of rectangles and discuss a generalizable method.
Unit 5 - Large Numbers and Landmarks
Students study place value and the operation of addition as they solve addition problems fluently. They compare different types of addition strategies, including the U.S. standard algorithm, and discuss the meaning of a generalizable algorithm. Students study the operation of subtraction as they solve subtraction problems fluently. They compare different types of subtraction strategies, including the U.S. standard algorithm. Students extend their understanding of place value to one million, and use what they know about place value and the operations to solve addition and subtraction problems involving 4- and 5-digit numbers.
Unit 6 - Fraction Cards and Decimal Grids
Students find fractional parts of the areas of rectangles and identify equivalent fractions. Students are introduced to decimal notation and represent and identify tenths and hundredths. Students make Fraction Cards that show area representations for fractions and mixed numbers. They compare and order fractions on a number line. They make conjectures about general rules for comparing fractions. Students compare and order decimals that include tenths and hundredths. Students add and subtract fractions and mixed numbers, including problems that involve measurement. They discuss strategies for adding and subtracting fractions and mixed numbers with like denominators. They also add tenths and hundredths. Students use representations to multiply fractions by whole numbers. They solve a variety of addition, subtraction, and multiplication problems that include fractions and mixed numbers.
Unit 7 - How Many Packages and Groups?
Students estimate products and practice strategies for solving multiplication problems with 2-digit factors. This includes solving measurement conversion problems. Students practice strategies for solving 2-digit by 2-digit and 4-digit by 1-digit multiplication problems, including breaking one or both factors apart, or changing the numbers to make an easier problem. Students use representations and story contexts to develop strategies for solving division problems with up to 4-digit dividends and 1-digit divisors.
Unit 8 - Penny Jars and Towers
Students work with two contexts (Penny Jars and Windows and Towers) that each have a starting amount and a constant amount of increase. Students use tables, arithmetic expressions, and symbolic notation to represent, describe, and compare the relationships between the two quantities in each context.