Math


Eureka Math

Woodglen uses the Eureka program for mathematics instruction. This program provides students with content rich, comprehensive instruction. Throughout this program students are engaging in a variety of important skills to support their mathematical understandings.


Mathematics Units of Study

Place Value

  • Recognizing that a digit in a given place value is ten times larger than the value to the right and conversely, every place value to the right is ten times less than the digit on the left of it. (Base-10 Number System)

  • Whole numbers are read, expressed, ordered & compared by identifying the place of the digits and applying their value accordingly.

  • We can round numbers as a means to communicate about numbers when precise answers are not relevant. (For example, I have $112 in the bank...I have about $100 in the bank.)


Whole Number Operations

  • Estimation allows students to predict what the actual value of a solution will be close to. It also helps determine the reasonableness of a solution once it’s found.

  • The various ways to represent and solve real world multiplication and division problems are: equations,rectangular arrays, area models, making equal groups through multiplication and division, interpreting remainders when necessary and traditional algorithms.

  • Knowing factors and multiples helps determine unknown factors, products, and quotients, which helps develop the concept of inverse relationships

Fractions

  • Fractions represent quantities that are not whole numbers.

  • When operating with fractions it is sometimes necessary to create equivalent fractions to work with like units.

  • Fractions with unlike denominators can be compared or ordered by using benchmark fractions, like numerators, or by creating fractions with common denominators.

Geometry

  • Geometry is the study of the relationships between points, lines, line segments, rays and angles.

  • Geometric shapes and figures have distinct attributes that help us identify and classify them (including lines and angles, etc.)

  • The measurement of an angle is used to classify it. Angles that are less than 90⁰ are acute, angles that are more than 90⁰ are obtuse and angles that are exactly 90⁰ are right angles.

Decimals

  • Pennies, dimes and dollars are related to hundredths, tenths and ones. Our money is a base ten system that can help us understand decimals in other contexts.

  • Both decimals and fractions describe quantities more precisely than whole numbers. A fraction can be written as a decimal and a decimal can be written as a fraction.

  • Decimals have values that can be compared and ordered based on their place value.

Measurement

  • Converting measurements allows us to compare and order like units.

  • Multiplying a larger measurement unit by the known multiplicative comparison will provide the equivalent smaller units of measure. (For example, 4ft = ___in. 4 x 12 = 48 so 4ft = 48in.)