In Kindergarten, students practice counting objects in sets, and they think about how numbers are ordered by showing the numbers on the number line. As they put together and take apart simple numbers, students lay groundwork for learning how to add and subtract. Students learn how joining (addition) and separating (subtraction) leads to adding and subtracting. Working with patterns helps to strengthen this understanding of addition and subtraction and moves them toward development of algebraic thinking. Kindergartners develop basic ideas related to geometry and they name simple two- and three- dimensional figures and find these shapes around them. Students sort and match shapes as they begin to learn classification skills.
In kindergarten math, your child will:
- count objects and tell how many there are
- write numerals 0-20 compare numbers or sets of objects to tell which has more or less
- add & subtract quickly and easily to 5
- add & subtract within 10 using objects, fingers, drawings, numbers, or equations
- solve addition and subtraction story problems
- understand that teen numbers are 10 and some more
- identify and describe shapes
- understand length and weight as something that can be measured
Learning Across the Year Kindergarten Summary
1st Grade Math
In first grade, students continue to work with whole numbers to quantify objects. They start to develop critical concepts of ones and tens that introduce them to our base ten number system. An understanding of how ones and tens relate to each other allows students to begin adding and subtracting two-digit numbers. Understanding that addition and subtraction undo each other is an important part of learning to use the operations efficiently and accurately. Students start to learn about measurement by measuring length. They begin to understand what it means to measure something, and they develop their measuring skills using everyday objects. Students expand their knowledge of two- and three- dimensional geometric figures by sorting, comparing and contrasting them according to their characteristics.
In grade 1 math, your child will:
- solve addition and subtraction story problems
- count by ones and tens to 120 read and write numbers to 120, and represent a number of objects up to 120 with a written numeral
- understand place value by describing what the digits mean in two-digit numbers; use this knowledge to add and subtract
- add two-digit numbers using at least two different strategies and explain how the strategies work
- subtract two-digit numbers that are multiples of 10 using at least two different strategies and explain how the strategies work
- compare two numbers using the symbols >, =, and <
- add and subtract numbers within 10 efficiently and accurately
- read or construct a graph and answer questions about the data
- measure length using non-standard units such as Popsicle sticks, linking cubes, and so on
- tell and write time to the hour and half-hour on analog and digital clock
Learning Across the Year 1st Grade Summary
2nd Grade Math
In second grade, students refine their understanding of the base ten system and use place value concepts of ones, tens, and hundreds to understand number relationships. They become fluent in writing and renaming numbers in a variety of ways. Students focus on what it means to add and subtract as they become fluent with single-digit addition and subtraction facts and develop addition and subtraction procedures for two-digit numbers. Students make sense of the procedures by building on what they know about place value and number relationships and putting together and taking apart sets of objects. Since students are well acquainted with two-digit numbers by this point, they tell time on different types of clocks, as well as identify coins and determine the value of a collection of coins. Students make predictions and answer questions about data as they apply their growing understanding of numbers and the operations of addition and subtraction. Students understand the process of measuring length and progress from measuring with objects such as toothpicks and craft sticks to the more practical skill of measuring length with standard units and tools.
In grade 2 math, your child will:
- solve two-step addition and subtraction story problems to 100
- add and subtract to 20; know addition facts to 20 by memory
- read and write 3-digit numbers using numerals, words, and expanded notation (726 = 700 + 20 + 6)
- understand that the three digits of a 3-digit number represent amounts of hundreds, tens, and ones
- use symbols >, =, < to compare two 3-digit numbers
- add and subtract 2-digit numbers accurately and efficiently, and explain strategies for doing so
- add and subtract 3-digit numbers using models, sketches, and/or numbers, and explain strategies for doing so
- estimate and measure length in centimeters and meters, inches and feet.
- divide circles and rectangles into two, three, and four equal parts and describe the parts
- recognize, draw, and analyze 2- and 3-D shapes
- solve money problems involving dollars, quarters, dimes, nickels, and pennies
Learning Across the Year 2nd Grade Summary
3rd Grade Math
In third grade, students solidify and formalize important concepts and skills related to addition and subtraction. They extend critical concepts of the base ten number system to include large numbers and formalize procedures for adding and subtracting large numbers. Students learn the meaning of multiplication and division and how these operations relate to each other. With a solid understanding of these two key operations, students are prepared to formalize the procedures for multiplication and division in grades four and five. Students learn about fractions and how they are used. Students deepen their understanding of fractions by comparing and ordering fractions and by representing them in different ways. Students learn about lines and use lines, line segments, and right angles as they work with quadrilaterals. Students connect this geometric work to numbers, operations, and measurement as they determine simple perimeters.
Learning Across the Year 3rd Grade Summary
4th Grade Math
In fourth grade, students learn basic multiplication facts and efficient procedures for multiplying two-and three-digit numbers. They explore the relationship between multiplication and division as they learn related division and multiplication facts in the same fact family. These skills, along with mental math and estimation, allow students to solve problems that call for multiplication. Students solidify and extend their understanding of fractions to include decimals. They learn how to find the area of a rectangle as a basis for later work with areas of other geometric figures. Students work with common factors and multiples as preparation for learning procedures for fraction operations in grades five and six.
Learning Across the Year 4th Grade Summary
5th Grade Math
In fifth grade, students learn efficient ways to divide whole numbers. They apply what they know about division to solve problems, using estimation and mental math skills to decide whether their results are reasonable. Students focus on triangles and quadrilaterals to formalize and extend their understanding of these geometric shapes. Students continue their development of algebraic thinking. They use variables to write simple algebraic expressions describing patterns or solutions to problems. They extend their work with common factors and multiples as they deal with prime numbers. Students extend their knowledge about adding and subtracting whole numbers to learning procedures for adding and subtracting fractions and decimals. Students apply these procedures to solve a wide range of problems that involve more of the types of numbers students see in other school subjects and in their lives.
Learning Across the Year 5th Grade Summary
6th Grade Math
In sixth grade, students multiply and divide fractions and decimals with conceptual and procedural understanding. Students extend their knowledge of fractions to develop an understanding of what a ratio is and how it relates to a rate and percent. Students extend what they know about area and perimeter to more complex two-dimensional figures including circles. They find the surface area and volume of simple three dimensional figures. Order of operations is introduced and students learn about negative numbers. They write and evaluate algebraic expressions and write and solve algebraic equations. By developing an understanding of ratio in real-life contexts, students learn how it relates to rates and percent.
Learning Across the Year 6th Grade Summary
Middle School Math
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Middle School Math 1 continues to build on concepts introduced in the elementary school and provides the foundation for Algebra and beyond. In Middle School Math 1, students add, subtract, multiply, and divide rational numbers, including positive and negative fractions, decimals, and integers. They solve problems involving a variety of proportional relationships, such as converting between measurement units, finding the percent of increase or decrease of an amount, and solving problems involving similar figures. They graph proportional relationships and identify slope in these graphs as well as situations, tables, and equations. Middle School Math 1 also includes geometry standards, such as finding surface area and volume of cylinders and volume of cones and pyramids. Probability work includes interpretation of data using sophisticated types of graphs and statistical measures. Finally, students extend their coordinate graphing skills and begin using exponents. Looking for 7th Grade Math help? Click here.
Middle School Math 2 continues to build on the concepts introduced in seventh grade. Students will continue to deepen their understanding of mathematics in preparation for high school mathematics. Students solve a variety of linear equations and inequalities. They represent and determine the slope and y-intercept of linear functions with verbal descriptions, tables, graphs, and symbolic expressions. Students work with lines and angles, especially as they solve problems involving triangles, using square roots and the Pythagorean Theorem. Students build on their extensive experience organizing and interpreting data by using mean, median, and mode to analyze, summarize, and describe information. Additionally, students will be introduced to scientific notation, the laws of exponents, and irrational numbers. Looking for 8th Grade Math help? Click here.
Middle School Accelerated Math is offered for students who want to take the high school credited course of Algebra 1 as eighth graders. Students complete both seventh and eighth grade math in one year. Students must be able and motivated to learn math standards quickly in order to be successful in this course. In Accelerated Math, students add, subtract, multiply, and divide rational numbers, including positive and negative fractions, decimals, and integers. They explore proportional relationships found in similar figures and solve a variety of linear equations and inequalities. They represent and determine the slope and y-intercept of linear functions with verbal descriptions, tables, graphs, and symbolic expressions. Students work with lines and angles, especially as they solve problems involving triangles using square roots and the Pythagorean Theorem. Students extend their understanding of surface area and volume to include finding surface area and volume of cones and pyramids. Students broaden their understanding of probability and build on their extensive experience organizing and interpreting data, by using mean, median, and mode to analyze, summarize, and describe information.
High School Math
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Algebra 1 2 Semesters
The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. Because it is built on the middle grades standards, this is a more ambitious version of Algebra I than has generally been offered. Units will deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions.
Geometry 2 Semesters
The fundamental purpose of the course in Geometry is to formalize and extend students' geometric experiences from the middle grades. Students explore more complex geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments. Students experience geometry as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.
Algebra 2 2 Semesters
Building on their work with linear, quadratic, and exponential functions, students extend their repertoire of functions to include polynomial, rational, and trigonometric functions. Students work closely with the expressions that define the functions, and continue to expand and hone their abilities to model situations and to solve equations, including solving quadratic equations over the set of complex numbers and solving exponential equations using logarithms.
Intermediate Mathematics 2 Semesters
This course is a 3rd math credit option for students following the successful completion of Algebra 1 and Geometry. Intermediate Mathematics will allow for further development of concepts, procedures and processes established through the previous courses while preparing them for courses such as Algebra 2 and statistics. This course aligns with Washington State Mathematics standards as well as College Readiness standards.
Quantitative Math 2 Semesters
Students will explore mathematical topics and concepts anchored in workplace contexts. Topics include a study of graph and networking theory, models for optimization, statistics for decision-making, probability and expected value models, voting, fair division and apportionment, growth and decay models, and the mathematics of finance. Throughout the course, algebraic and graphical representations of the topics are emphasized as outlined in the college readiness standards for the State of Washington.
Precalculus 2 Semesters
The course is designed to take students beyond their 3rd year high school math course. Included are an integrated development of advanced algebra, trigonometry, analytic geometry, and an introduction to calculus. This course is a prerequisite to calculus. Use of the graphing calculator is an integral part of this course.
Statistics 2 Semesters
Statistics are used everywhere from ordering hamburger patties in a fast food business to predicting a student's future success by the results of a test. Students will become familiar with the vocabulary, method, and meaning in the statistics which exist in the world around them. The TI-83 calculator will be used to explore the world of data and the patterns which can be found by analyzing this information.
AP Statistics 2 Semesters
The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: Exploring Data; Sampling and Experimentation; Anticipating Patterns; and Statistical Inference. Students who successfully complete the AP exam may receive credit for a one-semester introductory college statistics course.
AP Calculus AB 2 Semesters
This course is for students who wish to understand the underlying concepts of calculus, as well as its applications. Graphing calculators will be used to develop concepts in addition to numerical analysis. The applications will include business and economics problems, physics and engineering problems, exponential growth and decay, and surface areas and volumes of solids. Students are prepared to take the College Board AP Calculus BC exam given in May of the current school year.
AP Calculus BC 2 Semesters
This course is a continuation of AP Calculus AB by extending to include the study of Taylor series and vector valued functions. Students are prepared to the College Board AP Calculus BC exam given in May of the current school year.