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Free, Printable Kindergarten Math Worksheets for at-home Practice
Download this informative guide to learn how to best support your child as they learn and master important math concepts.
25+ Free Practice Worksheet questions
Click on a concept below to try a sample question
A stated objective of Common Core State Standards (CCSS) is to standardize academic guidelines nationwide. In other words, what Algebra 1 students learn in math in one state should be the same as what students of the same age are learning in another state. The curricula may vary between these two states, but the general concepts behind them are similar. This approach is intended to replace wildly differing guidelines among different states, thus eliminating (in theory) inconsistent test scores and other metrics that gauge student success.
An increased focus on math would seem to include a wider variety of topics and concepts being taught at every grade level, including Algebra 1. However, CCSS actually calls for fewer topics at each grade level. The Common Core approach (which is clearly influenced by “Singapore Math”—an educational initiative that promotes mastery instead of memorization) goes against many state standards. Many states mandate a “mile-wide, inch-deep” curriculum in which children are taught so much in a relatively short time span, that they aren't effectively becoming proficient in the concepts they truly need to understand to succeed at the next level. Hence, CCSS works to establish an incredibly thorough foundation not only for the math concepts in future grades, but also toward practical application for a lifetime.
For Algebra 1, Common Core's focus is on helping students develop the skills required to formulate and reason about expressions and equations. Students learn to represent a situation with a linear equation and solve real-world problems using linear equations and systems of linear equations. Students also learn to model quantitative relationships in the real-world using functions, analyze two and three-dimensional space and figures, and apply the Pythagorean Theorem.

Thinkster Algebra 1 worksheets are aligned to the common core state standards. These worksheets help students extend their understanding of different types of functions, for example, linear piecewise, absolute value, step functions, quadratic functions, and exponential functions. These worksheets cater to the primary goal of CCSS, which is to help students develop a deep understanding of the features of functions so that they can be analyzed graphically and algebraically, and used to model and solve problems in the real-world.

In Algebra 1, some concepts require greater emphasis than others based on the depth of the cluster and the time that students take to master. Concepts learned in Algebra 1 are important to future mathematics, and they cater to the demands of college and career readiness. Here are two critical areas that Common Core brings to Algebra 1 math:
Students use reasoning to define and make sense of rational exponents and explore the rational and real number systems' algebraic structure. They understand that numbers in real-world applications often have units (quantities). Students explore the structure of algebraic expressions and polynomials and see that certain properties must persist when they work with expressions. These properties are meant to represent numbers, which they learn to write in abstract form using variables.
Students refine techniques for solving equations and finding the solution set and clearly explain the algebraic steps they used to do so.
Students extend their previous knowledge of linear equations to work with absolute value equations, linear inequalities, and systems of linear equations. Students learn a more precise definition of functions and examine this in the context of linear equations. They continue to build their understanding of functions beyond linear ones by investigating tables, graphs, and equations built on their previous understanding of numbers and expressions.
Students make connections between different representations of the same function. They also learn to build functions in a modeling context and solve problems related to the resulting functions. The focus is on linear, simple exponential, and quadratic equations.
Though they may have seem detailed, the four areas of focus presented in the previous section are more just starting points of what seventh-graders can expect during this crucial school year. From those areas, teachers and students will delve into more specific concepts that will prepare kids for eighth-grade math and beyond. The five topics presented here, taken directly from CCSS 4 itself, include some details on what kids will be taught in seventh grade.

• Interpret the structure of expressions Students will learn how to interpret expressions that represent a quantity in terms of its context. This includes interpreting parts of an expression, such as terms, factors, and coefficients, and interpreting complicated expressions by viewing one or more of their parts as a single entity. Students will also learn how to use the structure of an expression to identify ways to rewrite it.
• Write expressions in equivalent forms to solve problems Students will learn how to choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. They will be able to factor a quadratic expression to reveal the zeros of the function it defines. They will also learn to complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines; use the properties of exponents to transform expressions for exponential functions. Students will learn to derive the formula for the sum of a finite geometric series (when the common ratio is not 1) and use the formula to solve problems.

• Understand addition and subtraction. Students this age are at the beginning of more than a decade of math instruction. Adding and subtracting are the first operational steps of that journey. Among the concepts they will learn:

• Work with numbers 11 to 19 to gain foundations for face value. Students will become proficient recognizing numbers between 11 and 19 and understanding that these numbers are composed of 10 ones plus another amount of ones (for example, 16 is 10 ones plus 6 ones, or 1 base ten block and 6 base one blocks).

• Understand addition and subtraction. Students will learn the difference between height and weight (e.g., tall, short, light, heavy, big, small, and so on) and apply those attributes when describing and analyzing the characteristics of an object (for example, which pitcher will hold more water?). They will also compare measurements (for example, comparing two objects and describing which one is heavier, taller, smaller, and so on).
• Classify objects and count the number of objects in each category. The best way to explain this topic is to give an example: If a bowl has green, red, and yellow buttons, students will classify those objects into categories (such as color, size, shape), count how many there are of each, and sort those categories by number.

• Identify and describe shapes. Kindergartners will learn the names of shapes, describe objects in relation to their positions (e.g., above, below, near, away, and so on), and describe if something is two-dimensional or three-dimensional.
• Analyze, create, compare, and compose shapes. Students will learn about, analyze, describe, and compare two- and three-dimensional shapes in terms of their characteristics (for example, a triangle has three sides) and size. They will also create shapes by drawing or building, and compose simple shapes into larger shapes (e.g., placing two squares together to get a rectangle).
Some of parents' trepidation with Common Core isn't so much with the guidelines themselves, but with the testing now aligned with CCSS via local math curricula. Standardized testing was stressful for students and parents before; with the ongoing Common Core implementation, many families simply don't know what to expect.
Fortunately, CCSS does not have to be that stressful, for you or your kindergartner. Here are some tips to help your children succeed with Common Core math:

If Common Core concerns you, intrigues you, or confuses you, don't hesitate to learn as much about it, in your child's classroom, at your kids' school, and on a national level. Talk with teachers, principals, and other parents. Seek advice on how you can help your kids, and yourself, navigate CCSS math. If you want to take further action, become involved with PTA or other organizations and committees that deal with your school's curriculum. The more you know, the more, ultimately, you can help your child.
A basic tenet of Common Core is to apply math principles to real-world situations. Why not start now? Give your child math problems when you are out and about, the store, in traffic, the park, and so on. For example, if you are at a stoplight, challenge your kindergartner to count how many cars cross ahead of you; during rush hour, that number can reach well into double digits.
You might look at a worksheet your child brings home and think, “This isn't the math I'm used to.” Because Common Core emphasizes understanding the process of arriving at an answer, your child may be taught additional ways to fry a mathematical egg, so to speak. Instead of shunning these approaches, learn them for yourself. Once you comprehend these additional methods, you will be better able to help your child comprehend them as well.
This suggestion can be read two ways. First, students will be encouraged to show how they arrived at an answer, especially within Common Core. Second, ask your children to show you their homework, particularly the challenging stuff. Explaining how a problem is solved is a basic CCSS tenet, so if your kids can be confident in explaining their work to you, they will carry that confidence into the classroom when the teacher asks for those same explanations.
If your kindergartner is struggling with the new math standards, talk with his or her teacher first. You then might want to seek outside resources to help your child. Several online resources provide math help, including worksheets and sample tests that conform to Common Core standards. Tutoring might be an option you consider as well. Innovative iPad-based math programs have emerged that combine the personalized approach of a tutor with today's technology. This revolutionary approach also may feature a curriculum based on Common Core, thus ensuring your child's learning at home is aligned with what he or she is learning at school.
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