MP1 Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for statements about mathematics for elementary school children points to its solution. They analyze givens, constraints, relationships, and goals.

Mathematically proficient students make sense of quantities and their relationships in problem situations. MP3 Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. Mathematically proficient students consider the available tools when solving a mathematical problem.

These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately.

MP7 Look for and make use of structure. Mathematically proficient students look closely to discern a pattern or structure. Young students, for example, might notice that three and seven more is the same amount as seven and three more, or they may sort a collection of shapes according to how many sides the shapes have. MP8 Look for and express regularity in repeated reasoning. Mathematically proficient students notice if calculations are repeated, and look both for general methods and for shortcuts.

Upper elementary students might notice when dividing 25 by 11 that they are repeating the same calculations over and over again, and conclude they have a repeating decimal. Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content The Standards for Mathematical Practice describe ways in which developing student practitioners of the discipline of mathematics increasingly ought to engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle and high school years. The Standards for Mathematical Content are a balanced combination of procedure and understanding. Expectations that begin with the word “understand” are often especially good opportunities to connect the practices to the content. Students who lack understanding of a topic may rely on procedures too heavily. In this respect, those content standards which set an expectation of understanding are potential “points of intersection” between the Standards for Mathematical Content and the Standards for Mathematical Practice.

Please click here for the ADA Compliant version of the Math Standards. This article needs to be updated. Please update this article to reflect recent events or newly available information. Due to the fact that the United Nations specifically focused on Sub-Saharan Africa and South Asia, as they are both home to the vast majority of children out of school, they hypothesized that they might not have been able to reach their goal by 2015. In order to achieve the goal by 2015, the United Nations estimated that all children at the official entry age for primary school would have had to have been attending classes by 2009. This would depend upon the duration of the primary level, as well as how well the schools retain students until the end of the cycle. Not only was it important for children to be enrolled in education, but countries will also have needed to ensure that there are a sufficient number of teachers and classrooms to meet the demand of pupils.

As of 2010, the number of new teachers needed in sub-Saharan Africa alone, equaled the current teaching force in the region. However, the gender gap for children not in education had also been narrowed. Between 1999 and 2008, the number of girls not in education worldwide had decreased from 57 percent to 53 percent, however it should also be noted that in some regions, the percentage had increased. According to the United Nations, there are many things in the regions that have already been accomplished.

Although enrollment in the sub-Saharan area of Africa continues to be the lowest region worldwide, by 2010 “it still increased by 18 percentage pointsâ€”from 58 percent to 76 percentâ€”between 1999 and 2008. Major advances had been made even in the poorest of countries like the abolition of primary school fees in Burundi where there was an increase in primary-school enrollment which reached 99 percent as of 2008. Also, Tanzania experienced a similar outcome. The country doubled its enrollment ratio over the same period. In Australia, students undertake preschool then 13 years of schooling before moving to vocational or higher education. Primary schooling for most children starts after they turn 5 years old.

In most states, children can be enrolled earlier at the discretion of individual school principals on the basis of intellectual giftedness. Brazil has recently gone through changes in school grades. Kindergarten or Grade 1 and lasts until age 13 or 14. Many places in Canada have a split between primary and elementary schools.