• ## Candice Johnson

"Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture." Bertrard Russell (known as a British mathematician, logician, Nobel laureate)

"The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful." Aristotle

"Mathematics is, in its way, the poetry of logical ideas." Albert Einstein

"Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country." David Hilbert (known as a very influential German mathematician in the late 19th/early 20th centuries)

# Mathematics

A Note about Pace and Order

The information provided on this page is for students and families to reference throughout the year as needed. The pace of the units and chapters is not indicated. Please follow the main page of this website and your child's daily entries in their student planner to follow pace and important announcements. This page is just for reference, enjoy!

Math Chapters

Chapter 1 - Whole Numbers: This chapter works through the concepts of place, value, comparing numbers, rounding, and estimating.

Chapter 2 - Whole Number Multiplication and Division: Focus is on multiplying and dividing by tens, hundreds, thousands, by powers of 10, and multiplying by 2-digit numbers. We also will learn about the order of operations. Words problems using these skills are included in this chapter.

Chapter 3 - Fractions and Mixed Numbers: Our class will learn about adding and subtracting unlike fractions, rewrite division expressions as fractions and mixed numbers, show fractions (including mixed fractions) and division expressions as decimals, and we will add and subtract mixed numbers. This chapter provides students with a chance to go beyond the algorithm and apply their learning to real-life situations in word problems.

Chapter 4 - Multiplying and Dividing Fractions and Mixed Numbers: As the title indicates, we will multiply and divide fractions and mixed numbers. We will multiply improper fractions by fractions, mixed numbers and whole numbers and then use this knowledge in the context of real-life world problems. Dividing fractions and whole numbers will also be learned in this chapter.

Chapter 5 - Algebra: This chapter is exciting as students will be able to identify and extend number patterns and see relationships between sets of numbers. We will use letters in algebraic expressions that include adding, subtracting, multiplying, and dividing. Simplifying algebraic expressions through gathering like terms and using order of operations will be an important theme in the chapter. We will also solve equations with variables on both sides of an equal sign. Students will also get a chance to use this knowledge with word problems.

Chapter 6 - Area: This chapter focuses on finding the area of a rectangle with whole numbers and fractional sides. Students will learn about how to identify and use the base and height of a triangle so as to solve for the area of a triangle.

Chapter 7 - Ratio:  Students will use a ratio to compare 2 numbers or quantities by division. We will use division to find missing terms in equivalent ratios. We will compare 3 quantities with ratios and multiply to find missing terms in equivalent ratios. Students will express their understanding of ratios in fraction form with model drawing as well as apply the new knowledge in word problems.

Chapter 8 - Decimals: This chapter is where we learn about recognizing place value to the thousandths place as well as compare and round decimals to the nearest hundredth. We will also rewrite decimals as fractions and mixed numbers.

Chapter 9 - Multiplying and Dividing Decimals: While studying decimals in this chapter we will multiply and divide by tens,  hundreds, thousands, estimate sums by rounding to the nearest tenth place. After converting metric units the chapter's culminating work will be using all this knowledge with word problems.

Chapter 10 - Percent: The lessons in this chapter focus on expressing fractions as percents, finding the percent of a number, and ultimately solve world problems with percents.

Chapter 11 - Graphs and Probability: Students will make and interpret line plots, double line bar graphs, graph equations on a coordinate grid, as well as compare 2 sets of data by using and creating line graphs, and we will use drawings and multiplying to find the number of combinations.

Chapter 12 - Angles: This chapter focuses on finding the value of an angle by using a protractor and math facts (such as 180 degrees is always the value of a straight line, vertical angles have the same value, etc.) to deduce the value of other unknown angles. We also learn to find an unknown angle around a point.

Chapter 13 - Properties of Triangles and Four-Sided Figures: We classify triangles by angle and length of sides by using our knowledge about angles and new facts about side length how to find unknown angles.

Chapter 14 - Surface Area and Volume: Students use manipulatives, draw models, and then algorithms for finding the surface area and volume of cubes, triangular prisms, and other 3D shapes.

La Entrada encourages a rich understanding of mathematics. Students master math at a concrete level, with models, and at the abstract level (use of algorithms). "The Las Lomitas School District has provided links to other web sites that when listed appeared to have significant educational value for school districts, teachers, parents, and students. Such links to sites provided by for-profit, or commercial enterprises do not constitute any endorsement by the Las Lomitas School District of the products or services of those enterprises, nor does the Las Lomitas School District purport to comment on the quality of these products or services. The links from these sites and any updates post our original listing as a resource is not within our control. Please use this resource with the same safety and supervision as you would searching the internet without recommendations. " 